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You searched for +publisher:"University of Illinois – Urbana-Champaign" +contributor:("Schenck, Henry"). Showing records 1 – 19 of 19 total matches.

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University of Illinois – Urbana-Champaign

1. Seceleanu, Alexandra. The syzygy theorem and the weak Lefschetz Property.

Degree: PhD, 0439, 2011, University of Illinois – Urbana-Champaign

 This thesis consists of two research topics in commutative algebra. In the first chapter, a comprehensive analysis is given of the Weak Lefschetz property in… (more)

Subjects/Keywords: syzygy; syzygy theorem; weak Lefschetz Property; fat points; homological conjectures

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APA (6th Edition):

Seceleanu, A. (2011). The syzygy theorem and the weak Lefschetz Property. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/26091

Chicago Manual of Style (16th Edition):

Seceleanu, Alexandra. “The syzygy theorem and the weak Lefschetz Property.” 2011. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/26091.

MLA Handbook (7th Edition):

Seceleanu, Alexandra. “The syzygy theorem and the weak Lefschetz Property.” 2011. Web. 13 Jul 2020.

Vancouver:

Seceleanu A. The syzygy theorem and the weak Lefschetz Property. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2011. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/26091.

Council of Science Editors:

Seceleanu A. The syzygy theorem and the weak Lefschetz Property. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2011. Available from: http://hdl.handle.net/2142/26091


University of Illinois – Urbana-Champaign

2. DiPasquale, Michael Robert. Splines on polytopal complexes.

Degree: PhD, Mathematics, 2015, University of Illinois – Urbana-Champaign

 This thesis concerns the algebra Cr(\PC) of Cr piecewise polynomial functions (splines) over a subdivision by convex polytopes \PC of a domain Ω\subset\Rn. Interest in… (more)

Subjects/Keywords: Algebraic Splines; Commutative Algebra

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APA (6th Edition):

DiPasquale, M. R. (2015). Splines on polytopal complexes. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/87949

Chicago Manual of Style (16th Edition):

DiPasquale, Michael Robert. “Splines on polytopal complexes.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/87949.

MLA Handbook (7th Edition):

DiPasquale, Michael Robert. “Splines on polytopal complexes.” 2015. Web. 13 Jul 2020.

Vancouver:

DiPasquale MR. Splines on polytopal complexes. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/87949.

Council of Science Editors:

DiPasquale MR. Splines on polytopal complexes. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/87949


University of Illinois – Urbana-Champaign

3. Zhou, Sishen. Topology of configuration space on trees.

Degree: PhD, Mathematics, 2015, University of Illinois – Urbana-Champaign

 Configuration Space on trees comes naturally from problems in engineering and has its own importance in mathematics. This paper reviewed the existing research results on… (more)

Subjects/Keywords: Configuration space; Discrete Morse theory

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APA (6th Edition):

Zhou, S. (2015). Topology of configuration space on trees. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/89221

Chicago Manual of Style (16th Edition):

Zhou, Sishen. “Topology of configuration space on trees.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/89221.

MLA Handbook (7th Edition):

Zhou, Sishen. “Topology of configuration space on trees.” 2015. Web. 13 Jul 2020.

Vancouver:

Zhou S. Topology of configuration space on trees. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/89221.

Council of Science Editors:

Zhou S. Topology of configuration space on trees. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/89221


University of Illinois – Urbana-Champaign

4. Aramyan, Nerses. A construction of topological field theories.

Degree: PhD, Mathematics, 2016, University of Illinois – Urbana-Champaign

 We give an explicit construction of extended topological field theories over a manifold taking values in the deloopings of U(1) from the data of differential… (more)

Subjects/Keywords: topological field theories; cobordism hypothesis; Deligne complex; Dold-Kan construction

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APA (6th Edition):

Aramyan, N. (2016). A construction of topological field theories. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/92901

Chicago Manual of Style (16th Edition):

Aramyan, Nerses. “A construction of topological field theories.” 2016. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/92901.

MLA Handbook (7th Edition):

Aramyan, Nerses. “A construction of topological field theories.” 2016. Web. 13 Jul 2020.

Vancouver:

Aramyan N. A construction of topological field theories. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2016. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/92901.

Council of Science Editors:

Aramyan N. A construction of topological field theories. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2016. Available from: http://hdl.handle.net/2142/92901


University of Illinois – Urbana-Champaign

5. Duarte Gelvez, Eliana Maria. Syzygies and implicitization of tensor product surfaces.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

 A tensor product surface is the closure of the image of a rational map λ : P1 ×P1 – >P3. These surfaces arise in geometric modeling… (more)

Subjects/Keywords: Implicitization; Syzygy; Rees algebras; Basepoints; Tensor product surface; Smooth quadric

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APA (6th Edition):

Duarte Gelvez, E. M. (2017). Syzygies and implicitization of tensor product surfaces. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/97285

Chicago Manual of Style (16th Edition):

Duarte Gelvez, Eliana Maria. “Syzygies and implicitization of tensor product surfaces.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/97285.

MLA Handbook (7th Edition):

Duarte Gelvez, Eliana Maria. “Syzygies and implicitization of tensor product surfaces.” 2017. Web. 13 Jul 2020.

Vancouver:

Duarte Gelvez EM. Syzygies and implicitization of tensor product surfaces. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/97285.

Council of Science Editors:

Duarte Gelvez EM. Syzygies and implicitization of tensor product surfaces. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/97285


University of Illinois – Urbana-Champaign

6. Searles, Dominic Nigel. Root-theoretic Young diagrams and Schubert Calculus.

Degree: PhD, Mathematics, 2015, University of Illinois – Urbana-Champaign

 A longstanding problem in algebraic combinatorics is to find nonnegative combinatorial rules for the Schubert calculus of generalized flag varieties; that is, for the structure… (more)

Subjects/Keywords: Root-theoretic Young diagrams; Schubert calculus; generalized flag variety; adjoint variety; Belkale-Kumar product

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APA (6th Edition):

Searles, D. N. (2015). Root-theoretic Young diagrams and Schubert Calculus. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/87992

Chicago Manual of Style (16th Edition):

Searles, Dominic Nigel. “Root-theoretic Young diagrams and Schubert Calculus.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/87992.

MLA Handbook (7th Edition):

Searles, Dominic Nigel. “Root-theoretic Young diagrams and Schubert Calculus.” 2015. Web. 13 Jul 2020.

Vancouver:

Searles DN. Root-theoretic Young diagrams and Schubert Calculus. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/87992.

Council of Science Editors:

Searles DN. Root-theoretic Young diagrams and Schubert Calculus. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/87992


University of Illinois – Urbana-Champaign

7. Li, Chunyi. Deformations of the Hilbert scheme of points on a del Pezzo surface.

Degree: PhD, 0439, 2014, University of Illinois – Urbana-Champaign

 The Hilbert scheme of n points in a smooth del Pezzo surface S parameterizes zero-dimensional subschemes with length n on S. We construct a flat… (more)

Subjects/Keywords: Hilbert scheme; deformation theory; del Pezzo surface

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APA (6th Edition):

Li, C. (2014). Deformations of the Hilbert scheme of points on a del Pezzo surface. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/49684

Chicago Manual of Style (16th Edition):

Li, Chunyi. “Deformations of the Hilbert scheme of points on a del Pezzo surface.” 2014. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/49684.

MLA Handbook (7th Edition):

Li, Chunyi. “Deformations of the Hilbert scheme of points on a del Pezzo surface.” 2014. Web. 13 Jul 2020.

Vancouver:

Li C. Deformations of the Hilbert scheme of points on a del Pezzo surface. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2014. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/49684.

Council of Science Editors:

Li C. Deformations of the Hilbert scheme of points on a del Pezzo surface. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2014. Available from: http://hdl.handle.net/2142/49684

8. Jang, Mi Young. On the super Hilbert scheme of constant Hilbert polynomials.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

 In this thesis we mainly consider supermanifolds and super Hilbert schemes. In the first part of this dissertation, we construct the Hilbert scheme of 0-dimensional… (more)

Subjects/Keywords: Algebraic geometry; Supergeometry

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APA (6th Edition):

Jang, M. Y. (2017). On the super Hilbert scheme of constant Hilbert polynomials. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/98128

Chicago Manual of Style (16th Edition):

Jang, Mi Young. “On the super Hilbert scheme of constant Hilbert polynomials.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/98128.

MLA Handbook (7th Edition):

Jang, Mi Young. “On the super Hilbert scheme of constant Hilbert polynomials.” 2017. Web. 13 Jul 2020.

Vancouver:

Jang MY. On the super Hilbert scheme of constant Hilbert polynomials. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/98128.

Council of Science Editors:

Jang MY. On the super Hilbert scheme of constant Hilbert polynomials. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/98128

9. Morton, Daniel. GKM manifolds with low Betti numbers.

Degree: PhD, 0439, 2012, University of Illinois – Urbana-Champaign

 A GKM manifold is a symplectic manifold with a torus action such that the fixed points are isolated and the isotropy weights at the fixed… (more)

Subjects/Keywords: GKM Manifolds; GKM Graphs; Symplectic Geometry; Symplectic Manifolds; Torus Actions

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APA (6th Edition):

Morton, D. (2012). GKM manifolds with low Betti numbers. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/29636

Chicago Manual of Style (16th Edition):

Morton, Daniel. “GKM manifolds with low Betti numbers.” 2012. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/29636.

MLA Handbook (7th Edition):

Morton, Daniel. “GKM manifolds with low Betti numbers.” 2012. Web. 13 Jul 2020.

Vancouver:

Morton D. GKM manifolds with low Betti numbers. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2012. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/29636.

Council of Science Editors:

Morton D. GKM manifolds with low Betti numbers. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2012. Available from: http://hdl.handle.net/2142/29636

10. Stapleton, Nathaniel J. Transchromatic generalized character maps.

Degree: PhD, 0439, 2011, University of Illinois – Urbana-Champaign

 In "Generalized Group Characters and Complex Oriented Cohomology Theories", Hopkins, Kuhn, and Ravenel discovered a generalized character theory that proved useful in studying cohomology rings… (more)

Subjects/Keywords: Algebraic Topology; Stable Homotopy Theory; Generalized Cohomology Theory; p-Divisible Group; Barsotti-Tate Group; Morava E-theory

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APA (6th Edition):

Stapleton, N. J. (2011). Transchromatic generalized character maps. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/26269

Chicago Manual of Style (16th Edition):

Stapleton, Nathaniel J. “Transchromatic generalized character maps.” 2011. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/26269.

MLA Handbook (7th Edition):

Stapleton, Nathaniel J. “Transchromatic generalized character maps.” 2011. Web. 13 Jul 2020.

Vancouver:

Stapleton NJ. Transchromatic generalized character maps. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2011. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/26269.

Council of Science Editors:

Stapleton NJ. Transchromatic generalized character maps. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2011. Available from: http://hdl.handle.net/2142/26269

11. Shen, Jiashun. Multiplicative codes of Reed-Muller type.

Degree: PhD, 0439, 2014, University of Illinois – Urbana-Champaign

 This is a comprehensive study of multiplicative codes of Reed-Muller type and their applications. Our codes apply to the elds of cryptography and coding theory,… (more)

Subjects/Keywords: coding theory; Reed-Muller codes; secret sharing; multiparty computation; combinatorics; multiplicity

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APA (6th Edition):

Shen, J. (2014). Multiplicative codes of Reed-Muller type. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/50529

Chicago Manual of Style (16th Edition):

Shen, Jiashun. “Multiplicative codes of Reed-Muller type.” 2014. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/50529.

MLA Handbook (7th Edition):

Shen, Jiashun. “Multiplicative codes of Reed-Muller type.” 2014. Web. 13 Jul 2020.

Vancouver:

Shen J. Multiplicative codes of Reed-Muller type. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2014. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/50529.

Council of Science Editors:

Shen J. Multiplicative codes of Reed-Muller type. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2014. Available from: http://hdl.handle.net/2142/50529

12. Kirov, Radoslav M. Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves.

Degree: PhD, 0439, 2010, University of Illinois – Urbana-Champaign

 The main goal of this work is to improve algebraic geometric/number theoretic constructions of error-correcting codes and secret sharing schemes. For both objects we define… (more)

Subjects/Keywords: algebraic geometric codes; error-correcting codes; linear secret sharing schemes; hermitian curve; suzuki curve

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APA (6th Edition):

Kirov, R. M. (2010). Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/16738

Chicago Manual of Style (16th Edition):

Kirov, Radoslav M. “Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves.” 2010. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/16738.

MLA Handbook (7th Edition):

Kirov, Radoslav M. “Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves.” 2010. Web. 13 Jul 2020.

Vancouver:

Kirov RM. Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2010. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/16738.

Council of Science Editors:

Kirov RM. Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2010. Available from: http://hdl.handle.net/2142/16738

13. Beder, Jesse. The Grade Conjecture and asymptotic intersection multiplicity.

Degree: PhD, 0439, 2013, University of Illinois – Urbana-Champaign

 In this thesis, we study Peskine and Szpiro's Grade Conjecture and its connection with asymptotic intersection multiplicity χ_∞. Given an A-module M of finite projective… (more)

Subjects/Keywords: commutative algebra; grade conjecture; characteristic p; frobenius; intersection multiplicity

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APA (6th Edition):

Beder, J. (2013). The Grade Conjecture and asymptotic intersection multiplicity. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/42274

Chicago Manual of Style (16th Edition):

Beder, Jesse. “The Grade Conjecture and asymptotic intersection multiplicity.” 2013. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/42274.

MLA Handbook (7th Edition):

Beder, Jesse. “The Grade Conjecture and asymptotic intersection multiplicity.” 2013. Web. 13 Jul 2020.

Vancouver:

Beder J. The Grade Conjecture and asymptotic intersection multiplicity. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2013. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/42274.

Council of Science Editors:

Beder J. The Grade Conjecture and asymptotic intersection multiplicity. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2013. Available from: http://hdl.handle.net/2142/42274

14. Im, Mee Seong. On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution.

Degree: PhD, 0439, 2014, University of Illinois – Urbana-Champaign

 We introduce the notion of filtered representations of quivers, which is related to usual quiver representations, but is a systematic generalization of conjugacy classes of… (more)

Subjects/Keywords: Algebraic geometry; representation theory; quiver varieties; filtered quiver variety; quiver flag variety; semi-invariant polynomials; invariant subring; Derksen-Weyman; Domokos-Zubkov; Schofield-van den Bergh; ADE-Dynkin quivers; affine Dynkin quivers; quivers with at most two pathways between any two vertices; filtration of vector spaces; classical invariant theory; the Hamiltonian reduction of the cotangent bundle of the enhanced Grothendieck-Springer resolution; almost-commuting varieties; affine quotient

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APA (6th Edition):

Im, M. S. (2014). On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/49392

Chicago Manual of Style (16th Edition):

Im, Mee Seong. “On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution.” 2014. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/49392.

MLA Handbook (7th Edition):

Im, Mee Seong. “On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution.” 2014. Web. 13 Jul 2020.

Vancouver:

Im MS. On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2014. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/49392.

Council of Science Editors:

Im MS. On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2014. Available from: http://hdl.handle.net/2142/49392

15. Fu, Yong. Quantum cohomology of a Hilbert scheme of a Hirzebruch surface.

Degree: PhD, 0439, 2010, University of Illinois – Urbana-Champaign

 In this thesis, we first use the {ℂ^*}2-action on the Hilbert scheme of two points on a Hirzebruch surface to compute all one-pointed and some… (more)

Subjects/Keywords: Gromov-Witten invariants; quantum product

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APA (6th Edition):

Fu, Y. (2010). Quantum cohomology of a Hilbert scheme of a Hirzebruch surface. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/16874

Chicago Manual of Style (16th Edition):

Fu, Yong. “Quantum cohomology of a Hilbert scheme of a Hirzebruch surface.” 2010. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/16874.

MLA Handbook (7th Edition):

Fu, Yong. “Quantum cohomology of a Hilbert scheme of a Hirzebruch surface.” 2010. Web. 13 Jul 2020.

Vancouver:

Fu Y. Quantum cohomology of a Hilbert scheme of a Hirzebruch surface. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2010. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/16874.

Council of Science Editors:

Fu Y. Quantum cohomology of a Hilbert scheme of a Hirzebruch surface. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2010. Available from: http://hdl.handle.net/2142/16874

16. Sheshmani, Artan. Towards studying of the higher rank theory of stable pairs.

Degree: PhD, 0439, 2011, University of Illinois – Urbana-Champaign

 This thesis is composed of two parts. In the first part we introduce a higher rank analog of the Pandharipande-Thomas theory of stable pairs on… (more)

Subjects/Keywords: Calabi-Yau threefold; Stable pairs; Deformation-obstruction theory; Derived categories; Equivariant cohomology; Virtual localization; Wallcrossing

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APA (6th Edition):

Sheshmani, A. (2011). Towards studying of the higher rank theory of stable pairs. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/26229

Chicago Manual of Style (16th Edition):

Sheshmani, Artan. “Towards studying of the higher rank theory of stable pairs.” 2011. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/26229.

MLA Handbook (7th Edition):

Sheshmani, Artan. “Towards studying of the higher rank theory of stable pairs.” 2011. Web. 13 Jul 2020.

Vancouver:

Sheshmani A. Towards studying of the higher rank theory of stable pairs. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2011. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/26229.

Council of Science Editors:

Sheshmani A. Towards studying of the higher rank theory of stable pairs. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2011. Available from: http://hdl.handle.net/2142/26229

17. To, Jin Hyung. Holomorphic chains on the projective line.

Degree: PhD, 0439, 2012, University of Illinois – Urbana-Champaign

 Holomorphic chains on a smooth algebraic curve are tuples of vector bundles on the curve together with the homomorphisms between them. A type of a… (more)

Subjects/Keywords: Holomorphic chains; α-stability; Chamber; Geometric Invariant Theory (GIT); Nonreductive GIT; Symplectic quotient; Co-Higgs bundles.

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APA (6th Edition):

To, J. H. (2012). Holomorphic chains on the projective line. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/31129

Chicago Manual of Style (16th Edition):

To, Jin Hyung. “Holomorphic chains on the projective line.” 2012. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/31129.

MLA Handbook (7th Edition):

To, Jin Hyung. “Holomorphic chains on the projective line.” 2012. Web. 13 Jul 2020.

Vancouver:

To JH. Holomorphic chains on the projective line. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2012. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/31129.

Council of Science Editors:

To JH. Holomorphic chains on the projective line. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2012. Available from: http://hdl.handle.net/2142/31129

18. Choi, Jinwon. Enumerative invariants for local Calabi-Yau threefolds.

Degree: PhD, 0439, 2012, University of Illinois – Urbana-Champaign

 This thesis consists of three parts. In the first part, we compute the topological Euler characteristics of the moduli spaces of stable sheaves of dimension… (more)

Subjects/Keywords: Bogomol'nyi-Prasad-Sommerfeld (BPS) invariant; moduli space; equivariant sheaf; toric variety; wall crossing

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

APA (6th Edition):

Choi, J. (2012). Enumerative invariants for local Calabi-Yau threefolds. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/34220

Chicago Manual of Style (16th Edition):

Choi, Jinwon. “Enumerative invariants for local Calabi-Yau threefolds.” 2012. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/34220.

MLA Handbook (7th Edition):

Choi, Jinwon. “Enumerative invariants for local Calabi-Yau threefolds.” 2012. Web. 13 Jul 2020.

Vancouver:

Choi J. Enumerative invariants for local Calabi-Yau threefolds. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2012. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/34220.

Council of Science Editors:

Choi J. Enumerative invariants for local Calabi-Yau threefolds. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2012. Available from: http://hdl.handle.net/2142/34220

19. Mak, Kit Ho. On congruence function fields with many rational places.

Degree: PhD, 0439, 2012, University of Illinois – Urbana-Champaign

 In this thesis, we study congruence function fields, in particular those with many rational places. This thesis consists of three parts, the first two parts… (more)

Subjects/Keywords: function fields; maximal curves; Ihara constants; asymptotic bounds; subcover problem

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

APA (6th Edition):

Mak, K. H. (2012). On congruence function fields with many rational places. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/34193

Chicago Manual of Style (16th Edition):

Mak, Kit Ho. “On congruence function fields with many rational places.” 2012. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 13, 2020. http://hdl.handle.net/2142/34193.

MLA Handbook (7th Edition):

Mak, Kit Ho. “On congruence function fields with many rational places.” 2012. Web. 13 Jul 2020.

Vancouver:

Mak KH. On congruence function fields with many rational places. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2012. [cited 2020 Jul 13]. Available from: http://hdl.handle.net/2142/34193.

Council of Science Editors:

Mak KH. On congruence function fields with many rational places. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2012. Available from: http://hdl.handle.net/2142/34193

.