subject:(Algebraic Geometry)

1. Lai, Kuan-Wen. Cremona transformations and rational parametrizations inspired by Hodge theory.

Degree: Department of Mathematics, 2018, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:792697/

► This thesis exhibits two of the author's works: the first is about interpreting the derived equivalences of K3 surfaces through Cremona transformations, where we construct… (more)

Subjects/Keywords: Geometry; Algebraic

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APA (6^th Edition):

Lai, K. (2018). Cremona transformations and rational parametrizations inspired by Hodge theory. (Thesis). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:792697/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lai, Kuan-Wen. “Cremona transformations and rational parametrizations inspired by Hodge theory.” 2018. Thesis, Brown University. Accessed January 17, 2021. https://repository.library.brown.edu/studio/item/bdr:792697/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lai, Kuan-Wen. “Cremona transformations and rational parametrizations inspired by Hodge theory.” 2018. Web. 17 Jan 2021.

Vancouver:

Lai K. Cremona transformations and rational parametrizations inspired by Hodge theory. [Internet] [Thesis]. Brown University; 2018. [cited 2021 Jan 17]. Available from: https://repository.library.brown.edu/studio/item/bdr:792697/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lai K. Cremona transformations and rational parametrizations inspired by Hodge theory. [Thesis]. Brown University; 2018. Available from: https://repository.library.brown.edu/studio/item/bdr:792697/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

2. Marcus, Steffen S. Spaces of Stable Maps, Evaluation Spaces, and Polynomial Families of Tautological Classes.

Degree: PhD, Mathematics, 2011, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:11253/

► The main subject of this dissertation is the study of certain moduli spaces intimately related to the enumerative geometry of complex algebraic varieties and orbifolds.… (more)

▼ The main subject of this dissertation is the study of certain moduli spaces intimately related to the enumerative geometry of complex algebraic varieties and orbifolds. In three separate but related directions, we contribute to the development and use of recent variants of Gromov-Witten (GW) theory and relative GW theory. The work of this dissertation took place in collaborative projects with Dan Abramovich, Renzo Cavalieri, Qile Chen, William Gillam, Henning Ulfarsson and Jonathan Wise.Very twisted stable maps.We construct the moduli stack of very twisted stable maps to a smooth projective Deligne-Mumford stack, extending the notion of twisted stable maps (due to Abramovich and Vistoli) to allow for generic stabilizers on the source curves. We also consider the GW theory given by this construction.The evaluation space of logarithmic stable maps.The evaluation stack for minimal logarithmic stable maps is constructed, parameterizing families of standard log points in the target log scheme. This construction provides the ingredients necessary to define appropriate evaluation maps for minimal log stable maps and establish the logarithmic GW theory of a log-smooth Deligne-Faltings log scheme.Polynomial families of tautological classes on the moduli space of curves.We study double Hurwitz classes on the rational tails locus of the moduli space of curves. These are defined by pushing forward the virtual fundamental classes of spaces of relative stable maps to an unparameterized projective line with prescribed ramification over zero and infinity. A comparison with classes arising from sections of the universal Jacobian shows that double Hurwitz classes are polynomial in the parts of the partitions indexing the special ramification data. Virtual localization on moduli spaces of relative stable maps gives sufficient relations to compute the coefficients of these polynomials in various cases. Advisors/Committee Members: Abramovich, Dan (Director), Cavalieri, Renzo (Reader), Lichtenbaum, Stephen (Reader).

Subjects/Keywords: algebraic geometry

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APA (6^th Edition):

Marcus, S. S. (2011). Spaces of Stable Maps, Evaluation Spaces, and Polynomial Families of Tautological Classes. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:11253/

Chicago Manual of Style (16^th Edition):

Marcus, Steffen S. “Spaces of Stable Maps, Evaluation Spaces, and Polynomial Families of Tautological Classes.” 2011. Doctoral Dissertation, Brown University. Accessed January 17, 2021. https://repository.library.brown.edu/studio/item/bdr:11253/.

MLA Handbook (7^th Edition):

Marcus, Steffen S. “Spaces of Stable Maps, Evaluation Spaces, and Polynomial Families of Tautological Classes.” 2011. Web. 17 Jan 2021.

Vancouver:

Marcus SS. Spaces of Stable Maps, Evaluation Spaces, and Polynomial Families of Tautological Classes. [Internet] [Doctoral dissertation]. Brown University; 2011. [cited 2021 Jan 17]. Available from: https://repository.library.brown.edu/studio/item/bdr:11253/.

Council of Science Editors:

Marcus SS. Spaces of Stable Maps, Evaluation Spaces, and Polynomial Families of Tautological Classes. [Doctoral Dissertation]. Brown University; 2011. Available from: https://repository.library.brown.edu/studio/item/bdr:11253/

3. Ascher, Kenneth Brian. Higher Dimensional Birational Geometry: Moduli and Arithmetic.

Degree: Department of Mathematics, 2017, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:733261/

► While the study of algebraic curves and their moduli has been a celebrated subject in algebraic and arithmetic geometry, generalizations of many results that hold… (more)

Subjects/Keywords: Geometry; Algebraic

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APA (6^th Edition):

Ascher, K. B. (2017). Higher Dimensional Birational Geometry: Moduli and Arithmetic. (Thesis). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:733261/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ascher, Kenneth Brian. “Higher Dimensional Birational Geometry: Moduli and Arithmetic.” 2017. Thesis, Brown University. Accessed January 17, 2021. https://repository.library.brown.edu/studio/item/bdr:733261/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ascher, Kenneth Brian. “Higher Dimensional Birational Geometry: Moduli and Arithmetic.” 2017. Web. 17 Jan 2021.

Vancouver:

Ascher KB. Higher Dimensional Birational Geometry: Moduli and Arithmetic. [Internet] [Thesis]. Brown University; 2017. [cited 2021 Jan 17]. Available from: https://repository.library.brown.edu/studio/item/bdr:733261/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ascher KB. Higher Dimensional Birational Geometry: Moduli and Arithmetic. [Thesis]. Brown University; 2017. Available from: https://repository.library.brown.edu/studio/item/bdr:733261/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

4. Bejleri, Dori. A tale of two moduli spaces: Hilbert schemes of singular curves and moduli of elliptic surfaces.

Degree: Department of Mathematics, 2018, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:792818/

► Moduli spaces play a central role in algebraic geometry. In this thesis we study the geometry of two particular moduli spaces. In Part I we… (more)

Subjects/Keywords: Geometry; Algebraic

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APA (6^th Edition):

Bejleri, D. (2018). A tale of two moduli spaces: Hilbert schemes of singular curves and moduli of elliptic surfaces. (Thesis). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:792818/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bejleri, Dori. “A tale of two moduli spaces: Hilbert schemes of singular curves and moduli of elliptic surfaces.” 2018. Thesis, Brown University. Accessed January 17, 2021. https://repository.library.brown.edu/studio/item/bdr:792818/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bejleri, Dori. “A tale of two moduli spaces: Hilbert schemes of singular curves and moduli of elliptic surfaces.” 2018. Web. 17 Jan 2021.

Vancouver:

Bejleri D. A tale of two moduli spaces: Hilbert schemes of singular curves and moduli of elliptic surfaces. [Internet] [Thesis]. Brown University; 2018. [cited 2021 Jan 17]. Available from: https://repository.library.brown.edu/studio/item/bdr:792818/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bejleri D. A tale of two moduli spaces: Hilbert schemes of singular curves and moduli of elliptic surfaces. [Thesis]. Brown University; 2018. Available from: https://repository.library.brown.edu/studio/item/bdr:792818/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

5. Harper, Alicia Deen. Factorization of Deligne-Mumford Stacks.

Degree: Department of Mathematics, 2018, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:792829/

► We prove a weak factorization result on birational maps of Deligne-Mumford stacks, and deduce the following: Let U \subset X be an open embedding of… (more)

Subjects/Keywords: Geometry; Algebraic

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APA (6^th Edition):

Harper, A. D. (2018). Factorization of Deligne-Mumford Stacks. (Thesis). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:792829/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Harper, Alicia Deen. “Factorization of Deligne-Mumford Stacks.” 2018. Thesis, Brown University. Accessed January 17, 2021. https://repository.library.brown.edu/studio/item/bdr:792829/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Harper, Alicia Deen. “Factorization of Deligne-Mumford Stacks.” 2018. Web. 17 Jan 2021.

Vancouver:

Harper AD. Factorization of Deligne-Mumford Stacks. [Internet] [Thesis]. Brown University; 2018. [cited 2021 Jan 17]. Available from: https://repository.library.brown.edu/studio/item/bdr:792829/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Harper AD. Factorization of Deligne-Mumford Stacks. [Thesis]. Brown University; 2018. Available from: https://repository.library.brown.edu/studio/item/bdr:792829/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

6. Molcho, Samouil. Logarithmic Stable Maps with Torus Actions.

Degree: PhD, Mathematics, 2014, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:386232/

► We study the moduli stacks of logarithmic stable maps when the target variety X is equipped with an action of a one-dimensional torus C*. Specifically,… (more)

Subjects/Keywords: Algebraic Geometry

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Molcho, S. (2014). Logarithmic Stable Maps with Torus Actions. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:386232/

Chicago Manual of Style (16^th Edition):

Molcho, Samouil. “Logarithmic Stable Maps with Torus Actions.” 2014. Doctoral Dissertation, Brown University. Accessed January 17, 2021. https://repository.library.brown.edu/studio/item/bdr:386232/.

MLA Handbook (7^th Edition):

Molcho, Samouil. “Logarithmic Stable Maps with Torus Actions.” 2014. Web. 17 Jan 2021.

Vancouver:

Molcho S. Logarithmic Stable Maps with Torus Actions. [Internet] [Doctoral dissertation]. Brown University; 2014. [cited 2021 Jan 17]. Available from: https://repository.library.brown.edu/studio/item/bdr:386232/.

Council of Science Editors:

Molcho S. Logarithmic Stable Maps with Torus Actions. [Doctoral Dissertation]. Brown University; 2014. Available from: https://repository.library.brown.edu/studio/item/bdr:386232/

University of Oxford

7. Jackson, Joshua James. Moduli spaces of unstable curves and sheaves via non-reductive geometric invariant theory.

Degree: PhD, 2018, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:d566c8db-433c-4eb5-8611-7f16e2724500 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.772567

► Many moduli problems in algebraic geometry can be posed using Geometric Invariant Theory (GIT). However, as with all such tools, if we are to have… (more)

Subjects/Keywords: Geometry; Algebraic

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APA (6^th Edition):

Jackson, J. J. (2018). Moduli spaces of unstable curves and sheaves via non-reductive geometric invariant theory. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:d566c8db-433c-4eb5-8611-7f16e2724500 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.772567

Chicago Manual of Style (16^th Edition):

Jackson, Joshua James. “Moduli spaces of unstable curves and sheaves via non-reductive geometric invariant theory.” 2018. Doctoral Dissertation, University of Oxford. Accessed January 17, 2021. http://ora.ox.ac.uk/objects/uuid:d566c8db-433c-4eb5-8611-7f16e2724500 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.772567.

MLA Handbook (7^th Edition):

Jackson, Joshua James. “Moduli spaces of unstable curves and sheaves via non-reductive geometric invariant theory.” 2018. Web. 17 Jan 2021.

Vancouver:

Jackson JJ. Moduli spaces of unstable curves and sheaves via non-reductive geometric invariant theory. [Internet] [Doctoral dissertation]. University of Oxford; 2018. [cited 2021 Jan 17]. Available from: http://ora.ox.ac.uk/objects/uuid:d566c8db-433c-4eb5-8611-7f16e2724500 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.772567.

Council of Science Editors:

Jackson JJ. Moduli spaces of unstable curves and sheaves via non-reductive geometric invariant theory. [Doctoral Dissertation]. University of Oxford; 2018. Available from: http://ora.ox.ac.uk/objects/uuid:d566c8db-433c-4eb5-8611-7f16e2724500 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.772567

University of Pennsylvania

8. Deliu, Dragos. Homological Projective Duality for Gr(3,6).

Degree: 2011, University of Pennsylvania

URL: https://repository.upenn.edu/edissertations/316

► Homological Projective Duality is a homological extension of the classical no- tion of projective duality. Constructing the homological projective dual of a variety allows one… (more)

Subjects/Keywords: Algebraic Geometry

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APA (6^th Edition):

Deliu, D. (2011). Homological Projective Duality for Gr(3,6). (Thesis). University of Pennsylvania. Retrieved from https://repository.upenn.edu/edissertations/316

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Deliu, Dragos. “Homological Projective Duality for Gr(3,6).” 2011. Thesis, University of Pennsylvania. Accessed January 17, 2021. https://repository.upenn.edu/edissertations/316.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Deliu, Dragos. “Homological Projective Duality for Gr(3,6).” 2011. Web. 17 Jan 2021.

Vancouver:

Deliu D. Homological Projective Duality for Gr(3,6). [Internet] [Thesis]. University of Pennsylvania; 2011. [cited 2021 Jan 17]. Available from: https://repository.upenn.edu/edissertations/316.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Deliu D. Homological Projective Duality for Gr(3,6). [Thesis]. University of Pennsylvania; 2011. Available from: https://repository.upenn.edu/edissertations/316

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Kansas State University

9. Abou-Rached, John. Sheaves and schemes: an introduction to algebraic geometry.

Degree: MS, Department of Mathematics, 2016, Kansas State University

URL: http://hdl.handle.net/2097/32608

► The purpose of this report is to serve as an introduction to the language of sheaves and schemes via algebraic geometry. The main objective is… (more)

Subjects/Keywords: Algebraic Geometry

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APA (6^th Edition):

Abou-Rached, J. (2016). Sheaves and schemes: an introduction to algebraic geometry. (Masters Thesis). Kansas State University. Retrieved from http://hdl.handle.net/2097/32608

Chicago Manual of Style (16^th Edition):

Abou-Rached, John. “Sheaves and schemes: an introduction to algebraic geometry.” 2016. Masters Thesis, Kansas State University. Accessed January 17, 2021. http://hdl.handle.net/2097/32608.

MLA Handbook (7^th Edition):

Abou-Rached, John. “Sheaves and schemes: an introduction to algebraic geometry.” 2016. Web. 17 Jan 2021.

Vancouver:

Abou-Rached J. Sheaves and schemes: an introduction to algebraic geometry. [Internet] [Masters thesis]. Kansas State University; 2016. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/2097/32608.

Council of Science Editors:

Abou-Rached J. Sheaves and schemes: an introduction to algebraic geometry. [Masters Thesis]. Kansas State University; 2016. Available from: http://hdl.handle.net/2097/32608

Cornell University

10. Snider, Michelle. Affine Patches On Positroid Varieties And Affine Pipe Dreams.

Degree: PhD, Mathematics, 2011, Cornell University

URL: http://hdl.handle.net/1813/33472

► The objects of interest in this thesis are positroid varieties in the Grassmannian, which are indexed by juggling patterns. In particular, we study affine patches… (more)

Subjects/Keywords: algebraic combinatorics; algebraic geometry

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APA (6^th Edition):

Snider, M. (2011). Affine Patches On Positroid Varieties And Affine Pipe Dreams. (Doctoral Dissertation). Cornell University. Retrieved from http://hdl.handle.net/1813/33472

Chicago Manual of Style (16^th Edition):

Snider, Michelle. “Affine Patches On Positroid Varieties And Affine Pipe Dreams.” 2011. Doctoral Dissertation, Cornell University. Accessed January 17, 2021. http://hdl.handle.net/1813/33472.

MLA Handbook (7^th Edition):

Snider, Michelle. “Affine Patches On Positroid Varieties And Affine Pipe Dreams.” 2011. Web. 17 Jan 2021.

Vancouver:

Snider M. Affine Patches On Positroid Varieties And Affine Pipe Dreams. [Internet] [Doctoral dissertation]. Cornell University; 2011. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/1813/33472.

Council of Science Editors:

Snider M. Affine Patches On Positroid Varieties And Affine Pipe Dreams. [Doctoral Dissertation]. Cornell University; 2011. Available from: http://hdl.handle.net/1813/33472

University of Illinois – Chicago

11. Sommars, Jeffrey C. Algorithms and Implementations in Computational Algebraic Geometry.

Degree: 2018, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/22687

► In this thesis, we explore several areas of computational algebraic geometry, and develop new algorithms and software in each. We are generally interested in solving… (more)

Subjects/Keywords: Tropical geometry; computational algebraic geometry

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APA (6^th Edition):

Sommars, J. C. (2018). Algorithms and Implementations in Computational Algebraic Geometry. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22687

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Sommars, Jeffrey C. “Algorithms and Implementations in Computational Algebraic Geometry.” 2018. Thesis, University of Illinois – Chicago. Accessed January 17, 2021. http://hdl.handle.net/10027/22687.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Sommars, Jeffrey C. “Algorithms and Implementations in Computational Algebraic Geometry.” 2018. Web. 17 Jan 2021.

Vancouver:

Sommars JC. Algorithms and Implementations in Computational Algebraic Geometry. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/10027/22687.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sommars JC. Algorithms and Implementations in Computational Algebraic Geometry. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/22687

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Cambridge

12. Xu, Yanning. Complements on Log Canonical Fano Varieties and Index Conjecture of Log Calabi-Yau Varieties.

Degree: PhD, 2020, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/311801

► This thesis aims to generalise the theory of complements to log canonical Fano varieties and relate theory of complements to the index conjecture of log… (more)

Subjects/Keywords: Algebraic Geometry; Birational Geometry; Mathematics

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APA (6^th Edition):

Xu, Y. (2020). Complements on Log Canonical Fano Varieties and Index Conjecture of Log Calabi-Yau Varieties. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/311801

Chicago Manual of Style (16^th Edition):

Xu, Yanning. “Complements on Log Canonical Fano Varieties and Index Conjecture of Log Calabi-Yau Varieties.” 2020. Doctoral Dissertation, University of Cambridge. Accessed January 17, 2021. https://www.repository.cam.ac.uk/handle/1810/311801.

MLA Handbook (7^th Edition):

Xu, Yanning. “Complements on Log Canonical Fano Varieties and Index Conjecture of Log Calabi-Yau Varieties.” 2020. Web. 17 Jan 2021.

Vancouver:

Xu Y. Complements on Log Canonical Fano Varieties and Index Conjecture of Log Calabi-Yau Varieties. [Internet] [Doctoral dissertation]. University of Cambridge; 2020. [cited 2021 Jan 17]. Available from: https://www.repository.cam.ac.uk/handle/1810/311801.

Council of Science Editors:

Xu Y. Complements on Log Canonical Fano Varieties and Index Conjecture of Log Calabi-Yau Varieties. [Doctoral Dissertation]. University of Cambridge; 2020. Available from: https://www.repository.cam.ac.uk/handle/1810/311801

University of Cambridge

13. Xu, Yanning. Complements on log canonical Fano varieties and index conjecture of Log Calabi-Yau varieties.

Degree: PhD, 2020, University of Cambridge

URL: https://doi.org/10.17863/CAM.58891 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.818201

► This thesis aims to generalise the theory of complements to log canonical Fano varieties and relate theory of complements to the index conjecture of log… (more)

Subjects/Keywords: Algebraic Geometry; Birational Geometry; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Xu, Y. (2020). Complements on log canonical Fano varieties and index conjecture of Log Calabi-Yau varieties. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.58891 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.818201

Chicago Manual of Style (16^th Edition):

Xu, Yanning. “Complements on log canonical Fano varieties and index conjecture of Log Calabi-Yau varieties.” 2020. Doctoral Dissertation, University of Cambridge. Accessed January 17, 2021. https://doi.org/10.17863/CAM.58891 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.818201.

MLA Handbook (7^th Edition):

Xu, Yanning. “Complements on log canonical Fano varieties and index conjecture of Log Calabi-Yau varieties.” 2020. Web. 17 Jan 2021.

Vancouver:

Xu Y. Complements on log canonical Fano varieties and index conjecture of Log Calabi-Yau varieties. [Internet] [Doctoral dissertation]. University of Cambridge; 2020. [cited 2021 Jan 17]. Available from: https://doi.org/10.17863/CAM.58891 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.818201.

Council of Science Editors:

Xu Y. Complements on log canonical Fano varieties and index conjecture of Log Calabi-Yau varieties. [Doctoral Dissertation]. University of Cambridge; 2020. Available from: https://doi.org/10.17863/CAM.58891 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.818201

Michigan State University

14. Sulisz, Gregory. Local deformations of wild group actions.

Degree: 2012, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:1935

►

Thesis Ph. D. Michigan State University. Mathematics 2012.

In this dissertation, we study deformations of actions of a cyclic group of order p on the… (more)

Subjects/Keywords: Schemes (Algebraic geometry); Geometry, Algebraic; Mathematics

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APA (6^th Edition):

Sulisz, G. (2012). Local deformations of wild group actions. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:1935

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Sulisz, Gregory. “Local deformations of wild group actions.” 2012. Thesis, Michigan State University. Accessed January 17, 2021. http://etd.lib.msu.edu/islandora/object/etd:1935.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Sulisz, Gregory. “Local deformations of wild group actions.” 2012. Web. 17 Jan 2021.

Vancouver:

Sulisz G. Local deformations of wild group actions. [Internet] [Thesis]. Michigan State University; 2012. [cited 2021 Jan 17]. Available from: http://etd.lib.msu.edu/islandora/object/etd:1935.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sulisz G. Local deformations of wild group actions. [Thesis]. Michigan State University; 2012. Available from: http://etd.lib.msu.edu/islandora/object/etd:1935

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Queens University

15. Smirnov, Ilia. Smooth Complete Intersections with Positive-Definite Intersection Form .

Degree: Mathematics and Statistics, 2012, Queens University

URL: http://hdl.handle.net/1974/7602

► We classify the smooth complete intersections with positive-definite intersection form on their middle cohomology. There are two families. The first family are quadric hypersurfaces in… (more)

Subjects/Keywords: Algebraic Geometry ; Mathematics

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APA (6^th Edition):

Smirnov, I. (2012). Smooth Complete Intersections with Positive-Definite Intersection Form . (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/7602

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Smirnov, Ilia. “Smooth Complete Intersections with Positive-Definite Intersection Form .” 2012. Thesis, Queens University. Accessed January 17, 2021. http://hdl.handle.net/1974/7602.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Smirnov, Ilia. “Smooth Complete Intersections with Positive-Definite Intersection Form .” 2012. Web. 17 Jan 2021.

Vancouver:

Smirnov I. Smooth Complete Intersections with Positive-Definite Intersection Form . [Internet] [Thesis]. Queens University; 2012. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/1974/7602.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Smirnov I. Smooth Complete Intersections with Positive-Definite Intersection Form . [Thesis]. Queens University; 2012. Available from: http://hdl.handle.net/1974/7602

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Duke University

16. Diaz, Humberto Antonio. Aspects of Motives: Finite-dimensionality, Chow-Kunneth Decompositions and Intersections of Cycles .

Degree: 2016, Duke University

URL: http://hdl.handle.net/10161/12201

► This thesis analyzes the Chow motives of 3 types of smooth projective varieties: the desingularized elliptic self fiber product, the Fano surface of lines… (more)

Subjects/Keywords: Mathematics; Algebraic Geometry

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APA (6^th Edition):

Diaz, H. A. (2016). Aspects of Motives: Finite-dimensionality, Chow-Kunneth Decompositions and Intersections of Cycles . (Thesis). Duke University. Retrieved from http://hdl.handle.net/10161/12201

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Diaz, Humberto Antonio. “Aspects of Motives: Finite-dimensionality, Chow-Kunneth Decompositions and Intersections of Cycles .” 2016. Thesis, Duke University. Accessed January 17, 2021. http://hdl.handle.net/10161/12201.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Diaz, Humberto Antonio. “Aspects of Motives: Finite-dimensionality, Chow-Kunneth Decompositions and Intersections of Cycles .” 2016. Web. 17 Jan 2021.

Vancouver:

Diaz HA. Aspects of Motives: Finite-dimensionality, Chow-Kunneth Decompositions and Intersections of Cycles . [Internet] [Thesis]. Duke University; 2016. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/10161/12201.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Diaz HA. Aspects of Motives: Finite-dimensionality, Chow-Kunneth Decompositions and Intersections of Cycles . [Thesis]. Duke University; 2016. Available from: http://hdl.handle.net/10161/12201

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Colorado State University

17. Hanson, Eric M. Algorithms in numerical algebraic geometry and applications.

Degree: PhD, Mathematics, 2015, Colorado State University

URL: http://hdl.handle.net/10217/167182

► The topics in this dissertation, while independent, are unified under the field of numerical algebraic geometry. With ties to some of the oldest areas in… (more)

▼ The topics in this dissertation, while independent, are unified under the field of numerical algebraic geometry. With ties to some of the oldest areas in mathematics, numerical algebraic geometry is relatively young as a field of study in its own right. The field is concerned with the numerical approximation of the solution sets of systems of polynomial equations and the manipulation of these sets. Given a polynomial system ƒ : CN → Cn, the methods of numerical algebraic geometry produce numerical approximations of the isolated solutions of ƒ(z) = 0, as well as points on any positive-dimensional components of the solution set, V(ƒ). In a short time, the work done in numerical algebraic geometry has significantly pushed the boundary of what is computable. This dissertation aims to further this work by contributing new algorithms to the field and using cutting edge techniques of the field to expand the scope of problems that can be addressed using numerical methods. We begin with an introduction to numerical algebraic geometry and subsequent chapters address independent topics: perturbed homotopies, exceptional sets and fiber products, and a numerical approach to finding unit distance embeddings of finite simple graphs. One of the most recent advances in numerical algebraic geometry is regeneration, an equation-by-equation homotopy method that is often more efficient than other approaches. However, the basic form of regeneration will not necessarily find all isolated singular solutions of a polynomial system without the additional cost of using deflation. In the second chapter, we present an alternative to deflation in the form of perturbed homotopies for solving polynomial systems. In particular, we propose first solving a perturbed version of the polynomial system, followed by a parameter homotopy to remove the perturbation. The aim of this chapter is two-fold. First, such perturbed homotopies are sometimes more efficient than regular homotopies, though they can also be less efficient. Second, a useful consequence is that the application of this perturbation to regeneration will yield all isolated solutions, including all singular isolated solutions. The third chapter considers families of polynomial systems which depend on parameters. There is a typical dimension for the variety defined by a system in the family; however, this dimension may jump for parameters in algebraic subsets of the parameter space. Sommese and Wampler exploited fiber products to give a numerical method for identifying these special parameter values. In this chapter, we propose a refined numerical approach to fiber products, which uses recent advancements in numerical algebraic geometry, such as regeneration extension. We show that this method is sometimes more efficient then known techniques. This gain in efficiency is due to the fact that regeneration extension allows the construction of the fiber product to be restricted to specified irreducible components. This work is motivated by applications in Kinematics - the… Advisors/Committee Members: Bates, Daniel J. (advisor), Peterson, Chris (committee member), Cavalieri, Renzo (committee member), Maciejewski, Anthony (committee member).

Subjects/Keywords: numerical algebraic geometry

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APA (6^th Edition):

Hanson, E. M. (2015). Algorithms in numerical algebraic geometry and applications. (Doctoral Dissertation). Colorado State University. Retrieved from http://hdl.handle.net/10217/167182

Chicago Manual of Style (16^th Edition):

Hanson, Eric M. “Algorithms in numerical algebraic geometry and applications.” 2015. Doctoral Dissertation, Colorado State University. Accessed January 17, 2021. http://hdl.handle.net/10217/167182.

MLA Handbook (7^th Edition):

Hanson, Eric M. “Algorithms in numerical algebraic geometry and applications.” 2015. Web. 17 Jan 2021.

Vancouver:

Hanson EM. Algorithms in numerical algebraic geometry and applications. [Internet] [Doctoral dissertation]. Colorado State University; 2015. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/10217/167182.

Council of Science Editors:

Hanson EM. Algorithms in numerical algebraic geometry and applications. [Doctoral Dissertation]. Colorado State University; 2015. Available from: http://hdl.handle.net/10217/167182

University of Oxford

18. Cazzaniga, Alberto. On some computations of refined Donaldson-Thomas invariants.

Degree: PhD, 2015, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:d3b85e97-4654-4384-9831-461d2cf9f10a ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816586

► Donaldson and Thomas defined Donaldson-Thomas (DT) invariants for moduli spaces of sheaves on proper Calabi-Yau threefolds in [DT,T]. The definition has been extended to more… (more)

▼ Donaldson and Thomas defined Donaldson-Thomas (DT) invariants for moduli spaces of sheaves on proper Calabi-Yau threefolds in [DT,T]. The definition has been extended to more general moduli spaces of objects in 3-Calabi-Yau categories, and in the last few years there has been an increasing interest in studying refinements of DT invariants. This thesis is devoted to the computation of the generating series of refined DT invariants in some geometric examples. In Chapter 2 we compute the generating series of refined DT invariants for the moduli space M_n,r of higher rank framed sheaves on P³, generalizing the result of [BBS] for the Hilbert scheme of n points on C³. We describe M_n,r as a global critical locus by means of the Beilinson spectral sequence, and compute the generating series using motivic wallcrossing. We interpret the result as a count of r-tuples of weighted 3D partitions in analogy with the refined topological vertex [IKV]. In Chapter 3 we study the refined DT invariants for the moduli space P^r_n,d of higher rank (framed) stable pairs on the resolved conifold. Applying twice the Beilinson spectral sequence, we identify P^r_n,d with the moduli space of PT-stable representations of the r-framed conifold quiver with superpotential, generalizing a result of [NN11]. We compute a product expansion for the generating series of refined DT invariants of P^r_n,d, and we compare our results with the partition function counting U(1)-instantons on the minimal resolution of an A_r-1 surface singularity. In Chapter 4 we study the universal generating series of motivic DT invariants for deformations of graded 3-Calabi-Yau algebras. We consider Jacobi algebras which are derived equivalent to the resolved conifold and the resolution of a line of A_n-singularities, and investigate their marginal deformations. The universal series of motivic DT invariants are affected by the deformations, and their variation is interpreted in terms of virtual classes of some special representation varieties associated to the quiver.

Subjects/Keywords: Mathematics; Algebraic geometry

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APA (6^th Edition):

Cazzaniga, A. (2015). On some computations of refined Donaldson-Thomas invariants. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:d3b85e97-4654-4384-9831-461d2cf9f10a ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816586

Chicago Manual of Style (16^th Edition):

Cazzaniga, Alberto. “On some computations of refined Donaldson-Thomas invariants.” 2015. Doctoral Dissertation, University of Oxford. Accessed January 17, 2021. http://ora.ox.ac.uk/objects/uuid:d3b85e97-4654-4384-9831-461d2cf9f10a ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816586.

MLA Handbook (7^th Edition):

Cazzaniga, Alberto. “On some computations of refined Donaldson-Thomas invariants.” 2015. Web. 17 Jan 2021.

Vancouver:

Cazzaniga A. On some computations of refined Donaldson-Thomas invariants. [Internet] [Doctoral dissertation]. University of Oxford; 2015. [cited 2021 Jan 17]. Available from: http://ora.ox.ac.uk/objects/uuid:d3b85e97-4654-4384-9831-461d2cf9f10a ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816586.

Council of Science Editors:

Cazzaniga A. On some computations of refined Donaldson-Thomas invariants. [Doctoral Dissertation]. University of Oxford; 2015. Available from: http://ora.ox.ac.uk/objects/uuid:d3b85e97-4654-4384-9831-461d2cf9f10a ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816586

University of California – Berkeley

19. Geraschenko, Anton Igorevich. Toric Stacks.

Degree: Mathematics, 2011, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/7sp369k8

► The first purpose of this dissertation is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks… (more)

Subjects/Keywords: Mathematics; algebraic geometry; algebraic stacks; toric varieties

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APA (6^th Edition):

Geraschenko, A. I. (2011). Toric Stacks. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/7sp369k8

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Geraschenko, Anton Igorevich. “Toric Stacks.” 2011. Thesis, University of California – Berkeley. Accessed January 17, 2021. http://www.escholarship.org/uc/item/7sp369k8.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Geraschenko, Anton Igorevich. “Toric Stacks.” 2011. Web. 17 Jan 2021.

Vancouver:

Geraschenko AI. Toric Stacks. [Internet] [Thesis]. University of California – Berkeley; 2011. [cited 2021 Jan 17]. Available from: http://www.escholarship.org/uc/item/7sp369k8.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Geraschenko AI. Toric Stacks. [Thesis]. University of California – Berkeley; 2011. Available from: http://www.escholarship.org/uc/item/7sp369k8

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

20. Halpern-Leistner, Daniel Scott. Geometric invariant theory and derived categories of coherent sheaves.

Degree: Mathematics, 2013, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/3z0991wj

► Given a quasiprojective algebraic variety with a reductive group action, we describe a relationship between its equivariant derived category and the derived category of its… (more)

▼ Given a quasiprojective algebraic variety with a reductive group action, we describe a relationship between its equivariant derived category and the derived category of its geometric invariant theory quotient. This generalizes classical descriptions of the category of coherent sheaves on projective space and categorifies several results in the theory of Hamiltonian group actions on projective manifolds.This perspective generalizes and provides new insight into examples of derived equivalences between birational varieties. We provide a criterion under which two different GIT quotients are derived equivalent, and apply it to prove that any two generic GIT quotients of an equivariantly Calabi-Yau projective-over-affine variety by a torus are derived equivalent.We also use these techniques to study autoequivalences of the derived category of coherent sheaves of a variety arising from a variation of GIT quotient. We show that these autoequivalences are generalized spherical twists, and describe how they result from mutations of semiorthogonal decompositions. Beyond the GIT setting, we show that all generalized spherical twist autoequivalences of a dg-category can be obtained from mutation in this manner.Motivated by a prediction from mirror symmetry, we refine the main theorem describing the derived category of a GIT quotient. We produce additional derived autoequivalences of a GIT quotient and propose an interpretation in terms of monodromy of the quantum connection. We generalize this observation by proving a criterion under which a spherical twist autoequivalence factors into a composition of other spherical twists.Finally, our technique for studying the derived category of a GIT quotient relies on a special stratification of the unstable locus in GIT. In the final chapter we establish a new modular description of this stratification using the mapping stack from the quotient of the affine line by the multiplicative group to the quotient stack X/G. This is the first foundational step in extending the methods of GIT beyond global quotient stacks X/G to other stacks arising in algebraic geometry. We describe a method of constructing such stratifications for arbitrary algebraic stacks and show that it reproduces the GIT stratification as well as the classical stratification of the moduli stack of vector bundles on a smooth curve.

Subjects/Keywords: Mathematics; algebraic geometry; algebraic stacks; derived categories

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APA (6^th Edition):

Halpern-Leistner, D. S. (2013). Geometric invariant theory and derived categories of coherent sheaves. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/3z0991wj

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Halpern-Leistner, Daniel Scott. “Geometric invariant theory and derived categories of coherent sheaves.” 2013. Thesis, University of California – Berkeley. Accessed January 17, 2021. http://www.escholarship.org/uc/item/3z0991wj.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Halpern-Leistner, Daniel Scott. “Geometric invariant theory and derived categories of coherent sheaves.” 2013. Web. 17 Jan 2021.

Vancouver:

Halpern-Leistner DS. Geometric invariant theory and derived categories of coherent sheaves. [Internet] [Thesis]. University of California – Berkeley; 2013. [cited 2021 Jan 17]. Available from: http://www.escholarship.org/uc/item/3z0991wj.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Halpern-Leistner DS. Geometric invariant theory and derived categories of coherent sheaves. [Thesis]. University of California – Berkeley; 2013. Available from: http://www.escholarship.org/uc/item/3z0991wj

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Georgia

21. Brown, Angela K. Using rank two vector bundles for fast decoding of Goppa codes.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/23795

► Every transfer of information is subject to some probability of error. Codingtheory addresses the problems of detecting and correcting the errors which occurin these transmissions.… (more)

Subjects/Keywords: Coding Theory; Algebraic Geometry; Algebraic Codes

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APA (6^th Edition):

Brown, A. K. (2014). Using rank two vector bundles for fast decoding of Goppa codes. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/23795

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Brown, Angela K. “Using rank two vector bundles for fast decoding of Goppa codes.” 2014. Thesis, University of Georgia. Accessed January 17, 2021. http://hdl.handle.net/10724/23795.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Brown, Angela K. “Using rank two vector bundles for fast decoding of Goppa codes.” 2014. Web. 17 Jan 2021.

Vancouver:

Brown AK. Using rank two vector bundles for fast decoding of Goppa codes. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/10724/23795.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Brown AK. Using rank two vector bundles for fast decoding of Goppa codes. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/23795

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Louisiana State University

22. Dribus, Benjamin F. On the infinitesimal theory of Chow groups.

Degree: PhD, Applied Mathematics, 2014, Louisiana State University

URL: etd-04062014-182723 ; https://digitalcommons.lsu.edu/gradschool_dissertations/821

► The Chow groups of codimension-p algebraic cycles modulo rational equivalence on a smooth algebraic variety X have steadfastly resisted the efforts of algebraic geometers to… (more)

▼ The Chow groups of codimension-p algebraic cycles modulo rational equivalence on a smooth algebraic variety X have steadfastly resisted the efforts of algebraic geometers to fathom their structure. Except for the case p=1, which yields an algebraic group, the Chow groups remain mysterious. This thesis explores a "linearization" approach to this problem, focusing on the infinitesimal structure of the Chow groups near their identity elements. This method was adumbrated in recent work of Mark Green and Phillip Griffiths. Similar topics have been explored by Bloch, Stienstra, Hesselholt, Van der Kallen, and others. A famous formula of Bloch expresses the Chow groups as Zariski sheaf cohomology groups of algebraic K-theory sheaves on X. Bloch's formula follows from the fact that the coniveau spectral sequence for algebraic K-theory on X induces flasque resolutions of these sheaves. Algebraic cycles and algebraic K-theory are thereby related via the general method of coniveau filtration of a topological space. Hence, "linearization" of the Chow groups is related to "linearization" of algebraic K-theory, which may be described in terms of negative cyclic homology. The proper formal construction arising from this approach is a "machine" involving the coniveau spectral sequences arising from four different generalized cohomology theories on X, which I will call K-theory, augmented K-theory, relative K-theory, and relative negative cyclic homology. The objects of principal interest are certain sheaf cohomology groups defined in terms of these theories. In particular, the pth Chow group is the pth cohomology group of the pth K-theory sheaf. Due to the critical role of coniveau filtration, I refer to this construction as the coniveau machine. The main theorem in this thesis establishes the existence of the coniveau machine for algebraic K-theory on a smooth algebraic variety. This result depends on a large body of prior work of Bloch-Ogus, Thomason, Colliot-Thelene, Hoober, and Kahn, Loday, and most recently, Cortinas, Haesemeyer, and Weibel. An immediate corollary is a new formula expressing generalized tangent groups of Chow groups in terms of negative cyclic homology, which is more tractable than algebraic K-theory.

Subjects/Keywords: algebraic geometry; algebraic cycles; Chow groups

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APA (6^th Edition):

Dribus, B. F. (2014). On the infinitesimal theory of Chow groups. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-04062014-182723 ; https://digitalcommons.lsu.edu/gradschool_dissertations/821

Chicago Manual of Style (16^th Edition):

Dribus, Benjamin F. “On the infinitesimal theory of Chow groups.” 2014. Doctoral Dissertation, Louisiana State University. Accessed January 17, 2021. etd-04062014-182723 ; https://digitalcommons.lsu.edu/gradschool_dissertations/821.

MLA Handbook (7^th Edition):

Dribus, Benjamin F. “On the infinitesimal theory of Chow groups.” 2014. Web. 17 Jan 2021.

Vancouver:

Dribus BF. On the infinitesimal theory of Chow groups. [Internet] [Doctoral dissertation]. Louisiana State University; 2014. [cited 2021 Jan 17]. Available from: etd-04062014-182723 ; https://digitalcommons.lsu.edu/gradschool_dissertations/821.

Council of Science Editors:

Dribus BF. On the infinitesimal theory of Chow groups. [Doctoral Dissertation]. Louisiana State University; 2014. Available from: etd-04062014-182723 ; https://digitalcommons.lsu.edu/gradschool_dissertations/821

Michigan State University

23. Liu, Chun Lung. Equivariant algebraic cobordism and double point relations.

Degree: 2012, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:1172

►

Thesis Ph. D. Michigan State University. Mathematics 2012.

For a reductive connected group or a finite group over a field of characteristic zero, we define… (more)

Subjects/Keywords: Cobordism theory; Geometry, Algebraic; Algebraic topology; Mathematics

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APA (6^th Edition):

Liu, C. L. (2012). Equivariant algebraic cobordism and double point relations. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:1172

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Liu, Chun Lung. “Equivariant algebraic cobordism and double point relations.” 2012. Thesis, Michigan State University. Accessed January 17, 2021. http://etd.lib.msu.edu/islandora/object/etd:1172.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Liu, Chun Lung. “Equivariant algebraic cobordism and double point relations.” 2012. Web. 17 Jan 2021.

Vancouver:

Liu CL. Equivariant algebraic cobordism and double point relations. [Internet] [Thesis]. Michigan State University; 2012. [cited 2021 Jan 17]. Available from: http://etd.lib.msu.edu/islandora/object/etd:1172.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Liu CL. Equivariant algebraic cobordism and double point relations. [Thesis]. Michigan State University; 2012. Available from: http://etd.lib.msu.edu/islandora/object/etd:1172

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Penn State University

24. Turner, Jacob Wade. The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications.

Degree: 2015, Penn State University

URL: https://submit-etda.libraries.psu.edu/catalog/24878

► The main objects of study in this work are tensor networks. We study applications of these objects to problems in computer science and physics using… (more)

Subjects/Keywords: Representation Theory; Algebraic Geometry

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APA (6^th Edition):

Turner, J. W. (2015). The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/24878

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Turner, Jacob Wade. “The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications.” 2015. Thesis, Penn State University. Accessed January 17, 2021. https://submit-etda.libraries.psu.edu/catalog/24878.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Turner, Jacob Wade. “The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications.” 2015. Web. 17 Jan 2021.

Vancouver:

Turner JW. The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications. [Internet] [Thesis]. Penn State University; 2015. [cited 2021 Jan 17]. Available from: https://submit-etda.libraries.psu.edu/catalog/24878.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Turner JW. The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications. [Thesis]. Penn State University; 2015. Available from: https://submit-etda.libraries.psu.edu/catalog/24878

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

25. Wise, Jonathan. The genus zero Gromov-Witten invariants of [Sym^2 P^2] and the enumerative geometry of hyperelliptic curves in P^2.

Degree: PhD, Mathematics, 2008, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:307/

► We study the moduli space of orbifold stable maps to the stack symmetric square of the projective plane, [Sym² P²]. Viewing this moduli space as… (more)

Subjects/Keywords: algebraic geometry

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APA (6^th Edition):

Wise, J. (2008). The genus zero Gromov-Witten invariants of [Sym^2 P^2] and the enumerative geometry of hyperelliptic curves in P^2. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:307/

Chicago Manual of Style (16^th Edition):

Wise, Jonathan. “The genus zero Gromov-Witten invariants of [Sym^2 P^2] and the enumerative geometry of hyperelliptic curves in P^2.” 2008. Doctoral Dissertation, Brown University. Accessed January 17, 2021. https://repository.library.brown.edu/studio/item/bdr:307/.

MLA Handbook (7^th Edition):

Wise, Jonathan. “The genus zero Gromov-Witten invariants of [Sym^2 P^2] and the enumerative geometry of hyperelliptic curves in P^2.” 2008. Web. 17 Jan 2021.

Vancouver:

Wise J. The genus zero Gromov-Witten invariants of [Sym^2 P^2] and the enumerative geometry of hyperelliptic curves in P^2. [Internet] [Doctoral dissertation]. Brown University; 2008. [cited 2021 Jan 17]. Available from: https://repository.library.brown.edu/studio/item/bdr:307/.

Council of Science Editors:

Wise J. The genus zero Gromov-Witten invariants of [Sym^2 P^2] and the enumerative geometry of hyperelliptic curves in P^2. [Doctoral Dissertation]. Brown University; 2008. Available from: https://repository.library.brown.edu/studio/item/bdr:307/

Rice University

26. Petok, Jack. Kodaira dimensions of some moduli spaces of special hyperkähler fourfolds.

Degree: PhD, Natural Sciences, 2020, Rice University

URL: http://hdl.handle.net/1911/109182

► We study the Noether-Lefschetz locus of the moduli space \mathcal{M} of K3^[2]-fourfolds with a polarization of degree 2. Following Hassett's work on cubic fourfolds, Debarre,… (more)

Subjects/Keywords: Algebraic geometry; number theory.

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APA (6^th Edition):

Petok, J. (2020). Kodaira dimensions of some moduli spaces of special hyperkähler fourfolds. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/109182

Chicago Manual of Style (16^th Edition):

Petok, Jack. “Kodaira dimensions of some moduli spaces of special hyperkähler fourfolds.” 2020. Doctoral Dissertation, Rice University. Accessed January 17, 2021. http://hdl.handle.net/1911/109182.

MLA Handbook (7^th Edition):

Petok, Jack. “Kodaira dimensions of some moduli spaces of special hyperkähler fourfolds.” 2020. Web. 17 Jan 2021.

Vancouver:

Petok J. Kodaira dimensions of some moduli spaces of special hyperkähler fourfolds. [Internet] [Doctoral dissertation]. Rice University; 2020. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/1911/109182.

Council of Science Editors:

Petok J. Kodaira dimensions of some moduli spaces of special hyperkähler fourfolds. [Doctoral Dissertation]. Rice University; 2020. Available from: http://hdl.handle.net/1911/109182

Oregon State University

27. Klute, Annette. Real algebraic geometry and the Pierce-Birkhoff conjecture.

Degree: MA, Mathematics, 1991, Oregon State University

URL: http://hdl.handle.net/1957/37971

Subjects/Keywords: Geometry; Algebraic

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APA (6^th Edition):

Klute, A. (1991). Real algebraic geometry and the Pierce-Birkhoff conjecture. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/37971

Chicago Manual of Style (16^th Edition):

Klute, Annette. “Real algebraic geometry and the Pierce-Birkhoff conjecture.” 1991. Masters Thesis, Oregon State University. Accessed January 17, 2021. http://hdl.handle.net/1957/37971.

MLA Handbook (7^th Edition):

Klute, Annette. “Real algebraic geometry and the Pierce-Birkhoff conjecture.” 1991. Web. 17 Jan 2021.

Vancouver:

Klute A. Real algebraic geometry and the Pierce-Birkhoff conjecture. [Internet] [Masters thesis]. Oregon State University; 1991. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/1957/37971.

Council of Science Editors:

Klute A. Real algebraic geometry and the Pierce-Birkhoff conjecture. [Masters Thesis]. Oregon State University; 1991. Available from: http://hdl.handle.net/1957/37971

Brigham Young University

28. Williams, Matthew Michael. Mirror Symmetry for Non-Abelian Landau-Ginzburg Models.

Degree: MS, 2019, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=9560&context=etd

► We consider Landau-Ginzburg models stemming from non-abelian groups comprised of non-diagonal symmetries, and we describe a rule for the mirror LG model. In particular, we… (more)

Subjects/Keywords: algebraic geometry; mirror symmetry

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APA (6^th Edition):

Williams, M. M. (2019). Mirror Symmetry for Non-Abelian Landau-Ginzburg Models. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=9560&context=etd

Chicago Manual of Style (16^th Edition):

Williams, Matthew Michael. “Mirror Symmetry for Non-Abelian Landau-Ginzburg Models.” 2019. Masters Thesis, Brigham Young University. Accessed January 17, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=9560&context=etd.

MLA Handbook (7^th Edition):

Williams, Matthew Michael. “Mirror Symmetry for Non-Abelian Landau-Ginzburg Models.” 2019. Web. 17 Jan 2021.

Vancouver:

Williams MM. Mirror Symmetry for Non-Abelian Landau-Ginzburg Models. [Internet] [Masters thesis]. Brigham Young University; 2019. [cited 2021 Jan 17]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=9560&context=etd.

Council of Science Editors:

Williams MM. Mirror Symmetry for Non-Abelian Landau-Ginzburg Models. [Masters Thesis]. Brigham Young University; 2019. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=9560&context=etd

Columbia University

29. Danilenko, Ivan. Quantum Cohomology of Slices of the Affine Grassmannian.

Degree: 2020, Columbia University

URL: https://doi.org/10.7916/d8-vnkw-ps05

► The affine Grassmannian associated to a reductive group G is an affine analogue of the usual flag varieties. It is a rich source of Poisson… (more)

Subjects/Keywords: Mathematics; Geometry, Algebraic; Cohomology operations

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APA (6^th Edition):

Danilenko, I. (2020). Quantum Cohomology of Slices of the Affine Grassmannian. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-vnkw-ps05

Chicago Manual of Style (16^th Edition):

Danilenko, Ivan. “Quantum Cohomology of Slices of the Affine Grassmannian.” 2020. Doctoral Dissertation, Columbia University. Accessed January 17, 2021. https://doi.org/10.7916/d8-vnkw-ps05.

MLA Handbook (7^th Edition):

Danilenko, Ivan. “Quantum Cohomology of Slices of the Affine Grassmannian.” 2020. Web. 17 Jan 2021.

Vancouver:

Danilenko I. Quantum Cohomology of Slices of the Affine Grassmannian. [Internet] [Doctoral dissertation]. Columbia University; 2020. [cited 2021 Jan 17]. Available from: https://doi.org/10.7916/d8-vnkw-ps05.

Council of Science Editors:

Danilenko I. Quantum Cohomology of Slices of the Affine Grassmannian. [Doctoral Dissertation]. Columbia University; 2020. Available from: https://doi.org/10.7916/d8-vnkw-ps05

Colorado State University

30. Freese, Hilary. Abelian surfaces with real multiplication over finite fields.

Degree: PhD, Mathematics, 2014, Colorado State University

URL: http://hdl.handle.net/10217/83742

► Given a simple abelian surface A/Fq, the endomorphism algebra, End(A) ⊗ Q, contains a unique real quadratic subfield. We explore two different but related questions… (more)

Subjects/Keywords: algebraic geometry; number theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Freese, H. (2014). Abelian surfaces with real multiplication over finite fields. (Doctoral Dissertation). Colorado State University. Retrieved from http://hdl.handle.net/10217/83742

Chicago Manual of Style (16^th Edition):

Freese, Hilary. “Abelian surfaces with real multiplication over finite fields.” 2014. Doctoral Dissertation, Colorado State University. Accessed January 17, 2021. http://hdl.handle.net/10217/83742.

MLA Handbook (7^th Edition):

Freese, Hilary. “Abelian surfaces with real multiplication over finite fields.” 2014. Web. 17 Jan 2021.

Vancouver:

Freese H. Abelian surfaces with real multiplication over finite fields. [Internet] [Doctoral dissertation]. Colorado State University; 2014. [cited 2021 Jan 17]. Available from: http://hdl.handle.net/10217/83742.

Council of Science Editors:

Freese H. Abelian surfaces with real multiplication over finite fields. [Doctoral Dissertation]. Colorado State University; 2014. Available from: http://hdl.handle.net/10217/83742

Open Access Theses and Dissertations