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University of Illinois – Chicago

1.
Ye, Fei.
Topology of Moduli Spaces and Complements of *Hyperplane* * Arrangements*.

Degree: 2011, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8044

► A complex l-arrangement A is a finite collection of hyperplanes in a l-dimensional affine (or projective) space. The study of the interplay between the topology…
(more)

Subjects/Keywords: Moduli spaces; Hyperplane arrangements

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APA (6^{th} Edition):

Ye, F. (2011). Topology of Moduli Spaces and Complements of Hyperplane Arrangements. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8044

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):

Ye, Fei. “Topology of Moduli Spaces and Complements of Hyperplane Arrangements.” 2011. Thesis, University of Illinois – Chicago. Accessed March 06, 2021. http://hdl.handle.net/10027/8044.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Ye, Fei. “Topology of Moduli Spaces and Complements of Hyperplane Arrangements.” 2011. Web. 06 Mar 2021.

Vancouver:

Ye F. Topology of Moduli Spaces and Complements of Hyperplane Arrangements. [Internet] [Thesis]. University of Illinois – Chicago; 2011. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10027/8044.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ye F. Topology of Moduli Spaces and Complements of Hyperplane Arrangements. [Thesis]. University of Illinois – Chicago; 2011. Available from: http://hdl.handle.net/10027/8044

Not specified: Masters Thesis or Doctoral Dissertation

Kansas State University

2.
Baker, Bethany.
Generalized
Pak-Stanley labeling for multigraphical *hyperplane* *arrangements* for
n = 3.

Degree: MS, Department of Mathematics, 2019, Kansas State University

URL: http://hdl.handle.net/2097/40022

► Pak-Stanley labeling was originally defined by Pak and Stanley in 1998 as a bijective map from the set of regions of an extended Shi arrangement…
(more)

Subjects/Keywords: Pak-Stanley labeling hyperplane arrangements

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APA (6^{th} Edition):

Baker, B. (2019). Generalized Pak-Stanley labeling for multigraphical hyperplane arrangements for n = 3. (Masters Thesis). Kansas State University. Retrieved from http://hdl.handle.net/2097/40022

Chicago Manual of Style (16^{th} Edition):

Baker, Bethany. “Generalized Pak-Stanley labeling for multigraphical hyperplane arrangements for n = 3.” 2019. Masters Thesis, Kansas State University. Accessed March 06, 2021. http://hdl.handle.net/2097/40022.

MLA Handbook (7^{th} Edition):

Baker, Bethany. “Generalized Pak-Stanley labeling for multigraphical hyperplane arrangements for n = 3.” 2019. Web. 06 Mar 2021.

Vancouver:

Baker B. Generalized Pak-Stanley labeling for multigraphical hyperplane arrangements for n = 3. [Internet] [Masters thesis]. Kansas State University; 2019. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2097/40022.

Council of Science Editors:

Baker B. Generalized Pak-Stanley labeling for multigraphical hyperplane arrangements for n = 3. [Masters Thesis]. Kansas State University; 2019. Available from: http://hdl.handle.net/2097/40022

Texas A&M University

3. Tohaneanu, Stefan Ovidiu. Homological algebra and problems in combinatorics and geometry.

Degree: PhD, Mathematics, 2007, Texas A&M University

URL: http://hdl.handle.net/1969.1/5789

► This dissertation uses methods from homological algebra and computational commutative algebra to study four problems. We use Hilbert function computations and classical homology theory and…
(more)

Subjects/Keywords: hyperplane arrangements; splines

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APA (6^{th} Edition):

Tohaneanu, S. O. (2007). Homological algebra and problems in combinatorics and geometry. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/5789

Chicago Manual of Style (16^{th} Edition):

Tohaneanu, Stefan Ovidiu. “Homological algebra and problems in combinatorics and geometry.” 2007. Doctoral Dissertation, Texas A&M University. Accessed March 06, 2021. http://hdl.handle.net/1969.1/5789.

MLA Handbook (7^{th} Edition):

Tohaneanu, Stefan Ovidiu. “Homological algebra and problems in combinatorics and geometry.” 2007. Web. 06 Mar 2021.

Vancouver:

Tohaneanu SO. Homological algebra and problems in combinatorics and geometry. [Internet] [Doctoral dissertation]. Texas A&M University; 2007. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/1969.1/5789.

Council of Science Editors:

Tohaneanu SO. Homological algebra and problems in combinatorics and geometry. [Doctoral Dissertation]. Texas A&M University; 2007. Available from: http://hdl.handle.net/1969.1/5789

University of Minnesota

4. Edman, Robert. Diameter and Coherence of Monotone Path Graph.

Degree: PhD, Mathematics, 2015, University of Minnesota

URL: http://hdl.handle.net/11299/175426

► A Zonotope Z is the linear projection of an n-cube into ℝ^{d}. Given a generic linear function f, an f-monotone path on Z is a…
(more)

Subjects/Keywords: fiber polytope; hyperplane arrangements; monotone paths

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APA (6^{th} Edition):

Edman, R. (2015). Diameter and Coherence of Monotone Path Graph. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/175426

Chicago Manual of Style (16^{th} Edition):

Edman, Robert. “Diameter and Coherence of Monotone Path Graph.” 2015. Doctoral Dissertation, University of Minnesota. Accessed March 06, 2021. http://hdl.handle.net/11299/175426.

MLA Handbook (7^{th} Edition):

Edman, Robert. “Diameter and Coherence of Monotone Path Graph.” 2015. Web. 06 Mar 2021.

Vancouver:

Edman R. Diameter and Coherence of Monotone Path Graph. [Internet] [Doctoral dissertation]. University of Minnesota; 2015. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/11299/175426.

Council of Science Editors:

Edman R. Diameter and Coherence of Monotone Path Graph. [Doctoral Dissertation]. University of Minnesota; 2015. Available from: http://hdl.handle.net/11299/175426

5.
Bibby, Christin.
Abelian * Arrangements*.

Degree: PhD, Department of Mathematics, 2015, University of Oregon

URL: http://hdl.handle.net/1794/19273

► An abelian arrangement is a finite set of codimension one abelian subvarieties (possibly translated) in a complex abelian variety. We are interested in the topology…
(more)

Subjects/Keywords: Hyperplane arrangements

…analogue of *hyperplane*
*arrangements*.
In doing so, we highlight the analogy between three cases… …2.4. *Hyperplane* *Arrangements*
For linear *arrangements*, a combinatorial presentation for the… …the theory of *hyperplane*
*arrangements*, where the deletion of H0 is the arrangement A0 = A… …H ∩ H0 : H ∈ A0 } in
H0 . In the theory of *hyperplane* *arrangements*, the long exact… …Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
5
2.2.
Graphic *Arrangements*…

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APA (6^{th} Edition):

Bibby, C. (2015). Abelian Arrangements. (Doctoral Dissertation). University of Oregon. Retrieved from http://hdl.handle.net/1794/19273

Chicago Manual of Style (16^{th} Edition):

Bibby, Christin. “Abelian Arrangements.” 2015. Doctoral Dissertation, University of Oregon. Accessed March 06, 2021. http://hdl.handle.net/1794/19273.

MLA Handbook (7^{th} Edition):

Bibby, Christin. “Abelian Arrangements.” 2015. Web. 06 Mar 2021.

Vancouver:

Bibby C. Abelian Arrangements. [Internet] [Doctoral dissertation]. University of Oregon; 2015. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/1794/19273.

Council of Science Editors:

Bibby C. Abelian Arrangements. [Doctoral Dissertation]. University of Oregon; 2015. Available from: http://hdl.handle.net/1794/19273

University of Notre Dame

6.
Luis Ernesto Saumell.
Perverse Sheaves and *Hyperplane*
*Arrangements*</h1>.

Degree: Mathematics, 2017, University of Notre Dame

URL: https://curate.nd.edu/show/6682x34915g

► The category of Perverse Sheaves is known to be an Abelian and Artinian category. As a result, we can talk about the length and…
(more)

Subjects/Keywords: Mathematics; Algebraic Geometry; Topology; Local systems; Hyperplane Arrangements

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APA (6^{th} Edition):

Saumell, L. E. (2017). Perverse Sheaves and Hyperplane Arrangements</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/6682x34915g

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Saumell, Luis Ernesto. “Perverse Sheaves and Hyperplane Arrangements</h1>.” 2017. Thesis, University of Notre Dame. Accessed March 06, 2021. https://curate.nd.edu/show/6682x34915g.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Saumell, Luis Ernesto. “Perverse Sheaves and Hyperplane Arrangements</h1>.” 2017. Web. 06 Mar 2021.

Vancouver:

Saumell LE. Perverse Sheaves and Hyperplane Arrangements</h1>. [Internet] [Thesis]. University of Notre Dame; 2017. [cited 2021 Mar 06]. Available from: https://curate.nd.edu/show/6682x34915g.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Saumell LE. Perverse Sheaves and Hyperplane Arrangements</h1>. [Thesis]. University of Notre Dame; 2017. Available from: https://curate.nd.edu/show/6682x34915g

Not specified: Masters Thesis or Doctoral Dissertation

University of Texas – Austin

7.
Geldon, Todd Wolman.
Computing the Tutte Polynomial of *hyperplane* * arrangements*.

Degree: PhD, Mathematics, 2009, University of Texas – Austin

URL: http://hdl.handle.net/2152/6660

► We are studying the Tutte Polynomial of *hyperplane* *arrangements*. We discuss some previous work done to compute these polynomials. Then we explain our method to…
(more)

Subjects/Keywords: Tutte Polynomial; Hyperplane arrangements; Polynomials

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APA (6^{th} Edition):

Geldon, T. W. (2009). Computing the Tutte Polynomial of hyperplane arrangements. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/6660

Chicago Manual of Style (16^{th} Edition):

Geldon, Todd Wolman. “Computing the Tutte Polynomial of hyperplane arrangements.” 2009. Doctoral Dissertation, University of Texas – Austin. Accessed March 06, 2021. http://hdl.handle.net/2152/6660.

MLA Handbook (7^{th} Edition):

Geldon, Todd Wolman. “Computing the Tutte Polynomial of hyperplane arrangements.” 2009. Web. 06 Mar 2021.

Vancouver:

Geldon TW. Computing the Tutte Polynomial of hyperplane arrangements. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2009. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2152/6660.

Council of Science Editors:

Geldon TW. Computing the Tutte Polynomial of hyperplane arrangements. [Doctoral Dissertation]. University of Texas – Austin; 2009. Available from: http://hdl.handle.net/2152/6660

University of Georgia

8.
Shin, Jae Ho.
The reduction map for the moduli spaces of weighted stable *hyperplane* * arrangements*.

Degree: 2016, University of Georgia

URL: http://hdl.handle.net/10724/35711

► Abstract Alexeev constructed moduli spaces of weighted stable *hyperplane* *arrangements* generalizing the Hasset's moduli space of curves of genus 0 with weighted n points. For…
(more)

Subjects/Keywords: Hyperplane Arrangements; Weighted Stable Hyperplane Arrangements; Moduli Spaces; Reduction Map; Surjectivity; Matroids; Base Polytopes; Puzzle-pieces; Flakes; Puzzles; Quilts; Regular Quilts; $beta$-puzzles; Extension of Regular Quilts.

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APA (6^{th} Edition):

Shin, J. H. (2016). The reduction map for the moduli spaces of weighted stable hyperplane arrangements. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/35711

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Shin, Jae Ho. “The reduction map for the moduli spaces of weighted stable hyperplane arrangements.” 2016. Thesis, University of Georgia. Accessed March 06, 2021. http://hdl.handle.net/10724/35711.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Shin, Jae Ho. “The reduction map for the moduli spaces of weighted stable hyperplane arrangements.” 2016. Web. 06 Mar 2021.

Vancouver:

Shin JH. The reduction map for the moduli spaces of weighted stable hyperplane arrangements. [Internet] [Thesis]. University of Georgia; 2016. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10724/35711.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Shin JH. The reduction map for the moduli spaces of weighted stable hyperplane arrangements. [Thesis]. University of Georgia; 2016. Available from: http://hdl.handle.net/10724/35711

Not specified: Masters Thesis or Doctoral Dissertation

University of Iowa

9.
Hager, Amanda C.
Freeness of *hyperplane* arrangement bundles and local homology of arrangement complements.

Degree: PhD, Mathematics, 2010, University of Iowa

URL: https://ir.uiowa.edu/etd/678

► A recent result of Salvetti and Settepanella gives, for a complexified real arrangement, an explicit description of a minimal CW decomposition as well as…
(more)

Subjects/Keywords: derivation module; hyperplane arrangements; topology; Mathematics

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APA (6^{th} Edition):

Hager, A. C. (2010). Freeness of hyperplane arrangement bundles and local homology of arrangement complements. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/678

Chicago Manual of Style (16^{th} Edition):

Hager, Amanda C. “Freeness of hyperplane arrangement bundles and local homology of arrangement complements.” 2010. Doctoral Dissertation, University of Iowa. Accessed March 06, 2021. https://ir.uiowa.edu/etd/678.

MLA Handbook (7^{th} Edition):

Hager, Amanda C. “Freeness of hyperplane arrangement bundles and local homology of arrangement complements.” 2010. Web. 06 Mar 2021.

Vancouver:

Hager AC. Freeness of hyperplane arrangement bundles and local homology of arrangement complements. [Internet] [Doctoral dissertation]. University of Iowa; 2010. [cited 2021 Mar 06]. Available from: https://ir.uiowa.edu/etd/678.

Council of Science Editors:

Hager AC. Freeness of hyperplane arrangement bundles and local homology of arrangement complements. [Doctoral Dissertation]. University of Iowa; 2010. Available from: https://ir.uiowa.edu/etd/678

Colorado State University

10. Flores, Zachary J. Finitely generated modules over Noetherian rings: interactions between algebra, geometry, and topology.

Degree: PhD, Mathematics, 2020, Colorado State University

URL: http://hdl.handle.net/10217/211775

► In this dissertation, we aim to study finitely generated modules over several different Noetherian rings and from varying perspectives. This work is divided into four…
(more)

Subjects/Keywords: algebraic K-theory; commutative algebra; Lefschetz properties; apolar algebras; algebraic geometry; hyperplane arrangements

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APA (6^{th} Edition):

Flores, Z. J. (2020). Finitely generated modules over Noetherian rings: interactions between algebra, geometry, and topology. (Doctoral Dissertation). Colorado State University. Retrieved from http://hdl.handle.net/10217/211775

Chicago Manual of Style (16^{th} Edition):

Flores, Zachary J. “Finitely generated modules over Noetherian rings: interactions between algebra, geometry, and topology.” 2020. Doctoral Dissertation, Colorado State University. Accessed March 06, 2021. http://hdl.handle.net/10217/211775.

MLA Handbook (7^{th} Edition):

Flores, Zachary J. “Finitely generated modules over Noetherian rings: interactions between algebra, geometry, and topology.” 2020. Web. 06 Mar 2021.

Vancouver:

Flores ZJ. Finitely generated modules over Noetherian rings: interactions between algebra, geometry, and topology. [Internet] [Doctoral dissertation]. Colorado State University; 2020. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10217/211775.

Council of Science Editors:

Flores ZJ. Finitely generated modules over Noetherian rings: interactions between algebra, geometry, and topology. [Doctoral Dissertation]. Colorado State University; 2020. Available from: http://hdl.handle.net/10217/211775

11.
Dupont, Clément.
Périodes des *arrangements* d'hyperplans et coproduit motivique. : Periods of *hyperplane* *arrangements* and motivic coproduct.

Degree: Docteur es, Mathématiques, 2014, Université Pierre et Marie Curie – Paris VI

URL: http://www.theses.fr/2014PA066207

►

Dans cette thèse, on s'intéresse à des questions relatives aux *arrangements* d'hyperplans du point de vue des périodes motiviques. Suivant un programme initié par Beilinson…
(more)

Subjects/Keywords: Périodes; Polylogarithmes; Arrangements d'hyperplans; Motifs de Tate mixtes; Structures de Hodge mixtes; Algèbres de Hopf combinatoires; Periods,; Polylogarithms; Hyperplane arrangements; Mixed Tate motives; Mixed Hodge structures; Combinatorial Hopf algebras; 510

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APA (6^{th} Edition):

Dupont, C. (2014). Périodes des arrangements d'hyperplans et coproduit motivique. : Periods of hyperplane arrangements and motivic coproduct. (Doctoral Dissertation). Université Pierre et Marie Curie – Paris VI. Retrieved from http://www.theses.fr/2014PA066207

Chicago Manual of Style (16^{th} Edition):

Dupont, Clément. “Périodes des arrangements d'hyperplans et coproduit motivique. : Periods of hyperplane arrangements and motivic coproduct.” 2014. Doctoral Dissertation, Université Pierre et Marie Curie – Paris VI. Accessed March 06, 2021. http://www.theses.fr/2014PA066207.

MLA Handbook (7^{th} Edition):

Dupont, Clément. “Périodes des arrangements d'hyperplans et coproduit motivique. : Periods of hyperplane arrangements and motivic coproduct.” 2014. Web. 06 Mar 2021.

Vancouver:

Dupont C. Périodes des arrangements d'hyperplans et coproduit motivique. : Periods of hyperplane arrangements and motivic coproduct. [Internet] [Doctoral dissertation]. Université Pierre et Marie Curie – Paris VI; 2014. [cited 2021 Mar 06]. Available from: http://www.theses.fr/2014PA066207.

Council of Science Editors:

Dupont C. Périodes des arrangements d'hyperplans et coproduit motivique. : Periods of hyperplane arrangements and motivic coproduct. [Doctoral Dissertation]. Université Pierre et Marie Curie – Paris VI; 2014. Available from: http://www.theses.fr/2014PA066207

University of Michigan

12. Denham, Graham Campbell. Local systems on the complexification of an oriented matroid.

Degree: PhD, Pure Sciences, 1999, University of Michigan

URL: http://hdl.handle.net/2027.42/131881

► The dissertation is concerned with topological invariants of *arrangements* of hyperplanes in complex affine space, particularly those that are defined over the real numbers, in…
(more)

Subjects/Keywords: Cohomology; Complexification; Hyperplane Arrangements; Local; Milnor Fibres; Oriented Matroid; Systems

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

APA (6^{th} Edition):

Denham, G. C. (1999). Local systems on the complexification of an oriented matroid. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/131881

Chicago Manual of Style (16^{th} Edition):

Denham, Graham Campbell. “Local systems on the complexification of an oriented matroid.” 1999. Doctoral Dissertation, University of Michigan. Accessed March 06, 2021. http://hdl.handle.net/2027.42/131881.

MLA Handbook (7^{th} Edition):

Denham, Graham Campbell. “Local systems on the complexification of an oriented matroid.” 1999. Web. 06 Mar 2021.

Vancouver:

Denham GC. Local systems on the complexification of an oriented matroid. [Internet] [Doctoral dissertation]. University of Michigan; 1999. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2027.42/131881.

Council of Science Editors:

Denham GC. Local systems on the complexification of an oriented matroid. [Doctoral Dissertation]. University of Michigan; 1999. Available from: http://hdl.handle.net/2027.42/131881

13.
Lutz, Robert.
Electrical Networks, *Hyperplane* *Arrangements* and Matroids.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151412

► This thesis introduces a class of *hyperplane* *arrangements*, called Dirichlet *arrangements*, arising from electrical networks with Dirichlet boundary conditions. Dirichlet *arrangements* encode harmonic functions on…
(more)

Subjects/Keywords: Combinatorics; Hyperplane arrangements; Electrical networks; Matroids; Mathematics; Science

…105
108
109
111
111
115
Abstract
This thesis introduces a class of *hyperplane* *arrangements*… …graphic *arrangements*, a fundamental class of *hyperplane* *arrangements* arising from
finite graphs… …*hyperplane* *arrangements*. The notion of
topological complexity originates from the motion planning… …matroids and *hyperplane* *arrangements* is a driving
force in combinatorics. Historically, many… …explicit analogies between electrical networks,
matroids and *hyperplane* *arrangements* that graphs…

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APA (6^{th} Edition):

Lutz, R. (2019). Electrical Networks, Hyperplane Arrangements and Matroids. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151412

Chicago Manual of Style (16^{th} Edition):

Lutz, Robert. “Electrical Networks, Hyperplane Arrangements and Matroids.” 2019. Doctoral Dissertation, University of Michigan. Accessed March 06, 2021. http://hdl.handle.net/2027.42/151412.

MLA Handbook (7^{th} Edition):

Lutz, Robert. “Electrical Networks, Hyperplane Arrangements and Matroids.” 2019. Web. 06 Mar 2021.

Vancouver:

Lutz R. Electrical Networks, Hyperplane Arrangements and Matroids. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2027.42/151412.

Council of Science Editors:

Lutz R. Electrical Networks, Hyperplane Arrangements and Matroids. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151412

University of Michigan

14. Correll, William Lester, Jr. On the invariant factors and module structure of the kernel of the Varchenko matrix.

Degree: PhD, Pure Sciences, 2002, University of Michigan

URL: http://hdl.handle.net/2027.42/131677

► Information about the nullspace and Smith normal form of the Varchenko matrix B(q) of a *hyperplane* arrangement has been useful in the study of Kac-Moody…
(more)

Subjects/Keywords: Algebraic Combinatorics; Hyperplane Arrangements; Invariant Factors; Kernel; Module Structure; Varchenko Matrix

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APA (6^{th} Edition):

Correll, William Lester, J. (2002). On the invariant factors and module structure of the kernel of the Varchenko matrix. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/131677

Chicago Manual of Style (16^{th} Edition):

Correll, William Lester, Jr. “On the invariant factors and module structure of the kernel of the Varchenko matrix.” 2002. Doctoral Dissertation, University of Michigan. Accessed March 06, 2021. http://hdl.handle.net/2027.42/131677.

MLA Handbook (7^{th} Edition):

Correll, William Lester, Jr. “On the invariant factors and module structure of the kernel of the Varchenko matrix.” 2002. Web. 06 Mar 2021.

Vancouver:

Correll, William Lester J. On the invariant factors and module structure of the kernel of the Varchenko matrix. [Internet] [Doctoral dissertation]. University of Michigan; 2002. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2027.42/131677.

Council of Science Editors:

Correll, William Lester J. On the invariant factors and module structure of the kernel of the Varchenko matrix. [Doctoral Dissertation]. University of Michigan; 2002. Available from: http://hdl.handle.net/2027.42/131677

McMaster University

15. Xie, Feng. Computational and Geometric Aspects of Linear Optimization.

Degree: PhD, 2011, McMaster University

URL: http://hdl.handle.net/11375/11634

►

This thesis deals with combinatorial and geometric aspects of linear optimization, and consists of two parts. In the first part, we address a conjecture… (more)

Subjects/Keywords: Linear optimization; Hyperplane arrangement; Colourful simplicial depth; Oriented Matroids; Octahedral systems; Average diameter of arrangements; Discrete Mathematics and Combinatorics; Geometry and Topology; Operational Research; Discrete Mathematics and Combinatorics

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APA (6^{th} Edition):

Xie, F. (2011). Computational and Geometric Aspects of Linear Optimization. (Doctoral Dissertation). McMaster University. Retrieved from http://hdl.handle.net/11375/11634

Chicago Manual of Style (16^{th} Edition):

Xie, Feng. “Computational and Geometric Aspects of Linear Optimization.” 2011. Doctoral Dissertation, McMaster University. Accessed March 06, 2021. http://hdl.handle.net/11375/11634.

MLA Handbook (7^{th} Edition):

Xie, Feng. “Computational and Geometric Aspects of Linear Optimization.” 2011. Web. 06 Mar 2021.

Vancouver:

Xie F. Computational and Geometric Aspects of Linear Optimization. [Internet] [Doctoral dissertation]. McMaster University; 2011. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/11375/11634.

Council of Science Editors:

Xie F. Computational and Geometric Aspects of Linear Optimization. [Doctoral Dissertation]. McMaster University; 2011. Available from: http://hdl.handle.net/11375/11634

16. Bartz, Jeremiah. Multinets in P^2 and P^3.

Degree: PhD, Department of Mathematics, 2013, University of Oregon

URL: http://hdl.handle.net/1794/13252

► In this dissertation, a method for producing multinets from a net in P^{3} is presented. Multinets play an important role in the study of resonance…
(more)

Subjects/Keywords: Hyperplane arrangements; Multi-arrangements; Multinets; Nets; Pencil of plane curves; Resonance varieities

…*hyperplane* *arrangements*. Nets initially appeared in this
latter context implicitly in [9]… …resonance varieties of the complement of a complex *hyperplane*
arrangement is an area of current… …*hyperplane* arrangement A is one type of
topological space for which deeper results on its resonance… …here is standard in arrangement theory. A complex
*hyperplane* arrangement A is a finite… …arrangement and denoted L. For an
arrangement A in Pn , each *hyperplane* H ∈ A can be specified by a…

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

APA (6^{th} Edition):

Bartz, J. (2013). Multinets in P^2 and P^3. (Doctoral Dissertation). University of Oregon. Retrieved from http://hdl.handle.net/1794/13252

Chicago Manual of Style (16^{th} Edition):

Bartz, Jeremiah. “Multinets in P^2 and P^3.” 2013. Doctoral Dissertation, University of Oregon. Accessed March 06, 2021. http://hdl.handle.net/1794/13252.

MLA Handbook (7^{th} Edition):

Bartz, Jeremiah. “Multinets in P^2 and P^3.” 2013. Web. 06 Mar 2021.

Vancouver:

Bartz J. Multinets in P^2 and P^3. [Internet] [Doctoral dissertation]. University of Oregon; 2013. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/1794/13252.

Council of Science Editors:

Bartz J. Multinets in P^2 and P^3. [Doctoral Dissertation]. University of Oregon; 2013. Available from: http://hdl.handle.net/1794/13252

17. Lund, Benjamin. Some Results in Discrete Geometry.

Degree: MS, Engineering and Applied Science: Computer Science, 2012, University of Cincinnati

URL: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1342463167

► This thesis includes several results on the extremal combinatorics of *hyperplane* *arrangements*, kinetic point sets, and other geometric struc- tures. It consists of three…
(more)

Subjects/Keywords: Computer Science; combinatorial geometry; hyperplane arrangements; pseudoline arrangements; extremal combinatorics; kinetic points

…technique of visualizing line and pseudoline
*arrangements* with dihedral symmetry by presenting… …investigation
of simplicial pseudoline *arrangements* [4].
In Section 2.2, we present an… …infinite family of *arrangements* of pseudolines,
such that an arrangement of n pseudolines from… …of
simplicial *arrangements*. This is the first time an infinite family of pseudolines
has… …number of intersection points on any line
carries over to other types of *arrangements*. This…

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

APA (6^{th} Edition):

Lund, B. (2012). Some Results in Discrete Geometry. (Masters Thesis). University of Cincinnati. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=ucin1342463167

Chicago Manual of Style (16^{th} Edition):

Lund, Benjamin. “Some Results in Discrete Geometry.” 2012. Masters Thesis, University of Cincinnati. Accessed March 06, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1342463167.

MLA Handbook (7^{th} Edition):

Lund, Benjamin. “Some Results in Discrete Geometry.” 2012. Web. 06 Mar 2021.

Vancouver:

Lund B. Some Results in Discrete Geometry. [Internet] [Masters thesis]. University of Cincinnati; 2012. [cited 2021 Mar 06]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1342463167.

Council of Science Editors:

Lund B. Some Results in Discrete Geometry. [Masters Thesis]. University of Cincinnati; 2012. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1342463167

Duke University

18. Narkawicz, Anthony Joseph. Cohomology Jumping Loci and the Relative Malcev Completion .

Degree: 2007, Duke University

URL: http://hdl.handle.net/10161/441

► Two standard invariants used to study the fundamental group of the complement X of a *hyperplane* arrangement are the Malcev completion of its fundamental group…
(more)

Subjects/Keywords: Mathematics; Malcev Completion; Hyperplane Arrangements; Characteristic Varieties; Orlik; Solomon Algebra; Rational Homotopy Theory; Iterated Integrals

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

APA (6^{th} Edition):

Narkawicz, A. J. (2007). Cohomology Jumping Loci and the Relative Malcev Completion . (Thesis). Duke University. Retrieved from http://hdl.handle.net/10161/441

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Narkawicz, Anthony Joseph. “Cohomology Jumping Loci and the Relative Malcev Completion .” 2007. Thesis, Duke University. Accessed March 06, 2021. http://hdl.handle.net/10161/441.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Narkawicz, Anthony Joseph. “Cohomology Jumping Loci and the Relative Malcev Completion .” 2007. Web. 06 Mar 2021.

Vancouver:

Narkawicz AJ. Cohomology Jumping Loci and the Relative Malcev Completion . [Internet] [Thesis]. Duke University; 2007. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10161/441.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Narkawicz AJ. Cohomology Jumping Loci and the Relative Malcev Completion . [Thesis]. Duke University; 2007. Available from: http://hdl.handle.net/10161/441

Not specified: Masters Thesis or Doctoral Dissertation

19.
Deshpande, Priyavrat.
* Arrangements* of Submanifolds and the Tangent Bundle Complement.

Degree: 2011, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/154

► Drawing parallels with the theory of *hyperplane* *arrangements*, we develop the theory of *arrangements* of submanifolds. Given a smooth, finite dimensional, real manifold X we…
(more)

Subjects/Keywords: hyperplane arrangements; topological combinatorics; Salvetti complex; Artin groups; topological representation theorem; Discrete Mathematics and Combinatorics; Geometry and Topology

…property. Deligne’s work has greatly influenced research in *hyperplane* *arrangements* and geometric… …*hyperplane* *arrangements* provides a rich interplay between combinatorics and topology. In the… …present thesis we generalize *hyperplane* *arrangements* to the level of manifolds. We
introduce the… …about the *hyperplane* *arrangements*.
Thesis Organization
Chapter 1: We begin this chapter by a… …Section 3.1, we first isolate the setting to which *hyperplane* *arrangements* can be generalized…

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

APA (6^{th} Edition):

Deshpande, P. (2011). Arrangements of Submanifolds and the Tangent Bundle Complement. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/154

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Deshpande, Priyavrat. “Arrangements of Submanifolds and the Tangent Bundle Complement.” 2011. Thesis, University of Western Ontario. Accessed March 06, 2021. https://ir.lib.uwo.ca/etd/154.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Deshpande, Priyavrat. “Arrangements of Submanifolds and the Tangent Bundle Complement.” 2011. Web. 06 Mar 2021.

Vancouver:

Deshpande P. Arrangements of Submanifolds and the Tangent Bundle Complement. [Internet] [Thesis]. University of Western Ontario; 2011. [cited 2021 Mar 06]. Available from: https://ir.lib.uwo.ca/etd/154.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Deshpande P. Arrangements of Submanifolds and the Tangent Bundle Complement. [Thesis]. University of Western Ontario; 2011. Available from: https://ir.lib.uwo.ca/etd/154

Not specified: Masters Thesis or Doctoral Dissertation

University of Southern California

20.
Aboulian, Meghdi.
From card shuffling to random walks on chambers of
*hyperplane* * arrangements*.

Degree: MS, Applied Mathematics, 2010, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/318769/rec/2905

► I have surveyed basic properties of card shuffling techniques as well as generalized theory of random walks on chambers of *hyperplane* *arrangements* based on the…
(more)

Subjects/Keywords: card shuffling; random walk; total variance distance; riffle shuffling; top to random shuffling; random walks on chambers of hyperplane arrangements; stationary distribution; applications to card shuffling; card shuffling techniques

Record Details Similar Records

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

APA (6^{th} Edition):

Aboulian, M. (2010). From card shuffling to random walks on chambers of hyperplane arrangements. (Masters Thesis). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/318769/rec/2905

Chicago Manual of Style (16^{th} Edition):

Aboulian, Meghdi. “From card shuffling to random walks on chambers of hyperplane arrangements.” 2010. Masters Thesis, University of Southern California. Accessed March 06, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/318769/rec/2905.

MLA Handbook (7^{th} Edition):

Aboulian, Meghdi. “From card shuffling to random walks on chambers of hyperplane arrangements.” 2010. Web. 06 Mar 2021.

Vancouver:

Aboulian M. From card shuffling to random walks on chambers of hyperplane arrangements. [Internet] [Masters thesis]. University of Southern California; 2010. [cited 2021 Mar 06]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/318769/rec/2905.

Council of Science Editors:

Aboulian M. From card shuffling to random walks on chambers of hyperplane arrangements. [Masters Thesis]. University of Southern California; 2010. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/318769/rec/2905