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Showing records 1 – 15 of
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Virginia Tech

1.
Brunson, Jason Cory.
Matrix *Schubert* *varieties* for the affine Grassmannian.

Degree: PhD, Mathematics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/25286

► *Schubert* calculus has become an indispensable tool for enumerative geometry. It concerns the multiplication of *Schubert* classes in the cohomology of flag *varieties*, and is…
(more)

Subjects/Keywords: Schubert polynomials; affine Grassmannian; matrix Schubert varieties

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APA (6^{th} Edition):

Brunson, J. C. (2014). Matrix Schubert varieties for the affine Grassmannian. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/25286

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

Brunson, Jason Cory. “Matrix Schubert varieties for the affine Grassmannian.” 2014. Doctoral Dissertation, Virginia Tech. Accessed July 12, 2020. http://hdl.handle.net/10919/25286.

MLA Handbook (7^{th} Edition):

Brunson, Jason Cory. “Matrix Schubert varieties for the affine Grassmannian.” 2014. Web. 12 Jul 2020.

Vancouver:

Brunson JC. Matrix Schubert varieties for the affine Grassmannian. [Internet] [Doctoral dissertation]. Virginia Tech; 2014. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10919/25286.

Council of Science Editors:

Brunson JC. Matrix Schubert varieties for the affine Grassmannian. [Doctoral Dissertation]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/25286

Northeastern University

2.
Singh, Rahul.
Orbital *Varieties*, And Conormal *Varieties* To *Schubert* * Varieties*.

Degree: PhD, Department of Mathematics, 2019, Northeastern University

URL: http://hdl.handle.net/2047/D20317966

► *Schubert* *varieties*, being the foundational objects of enumerative geometry, have been studied by mathematicians for over a century. Their conormal *varieties*, and the closely related…
(more)

Subjects/Keywords: Conormal Varieties; Loop Groups; Orbital Varieties; Schubert Varieties; Steinberg Variety; Young Tableaux; Mathematics

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APA (6^{th} Edition):

Singh, R. (2019). Orbital Varieties, And Conormal Varieties To Schubert Varieties. (Doctoral Dissertation). Northeastern University. Retrieved from http://hdl.handle.net/2047/D20317966

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

Singh, Rahul. “Orbital Varieties, And Conormal Varieties To Schubert Varieties.” 2019. Doctoral Dissertation, Northeastern University. Accessed July 12, 2020. http://hdl.handle.net/2047/D20317966.

MLA Handbook (7^{th} Edition):

Singh, Rahul. “Orbital Varieties, And Conormal Varieties To Schubert Varieties.” 2019. Web. 12 Jul 2020.

Vancouver:

Singh R. Orbital Varieties, And Conormal Varieties To Schubert Varieties. [Internet] [Doctoral dissertation]. Northeastern University; 2019. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/2047/D20317966.

Council of Science Editors:

Singh R. Orbital Varieties, And Conormal Varieties To Schubert Varieties. [Doctoral Dissertation]. Northeastern University; 2019. Available from: http://hdl.handle.net/2047/D20317966

University of Melbourne

3. Xu, Jon. Chevalley groups and finite geometry.

Degree: 2018, University of Melbourne

URL: http://hdl.handle.net/11343/212228

► This thesis explores the possible use of *Schubert* cells, *Schubert* *varieties* and flag *varieties* in finite geometry, particularly in regard to the question of these…
(more)

Subjects/Keywords: finite geometry; representation theory; Chevalley groups; ovoids; lattice theory; Lie theory; buildings; Schubert cells; Schubert varieties; flag varieties; linear algebraic groups

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APA (6^{th} Edition):

Xu, J. (2018). Chevalley groups and finite geometry. (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/212228

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

Xu, Jon. “Chevalley groups and finite geometry.” 2018. Doctoral Dissertation, University of Melbourne. Accessed July 12, 2020. http://hdl.handle.net/11343/212228.

MLA Handbook (7^{th} Edition):

Xu, Jon. “Chevalley groups and finite geometry.” 2018. Web. 12 Jul 2020.

Vancouver:

Xu J. Chevalley groups and finite geometry. [Internet] [Doctoral dissertation]. University of Melbourne; 2018. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/11343/212228.

Council of Science Editors:

Xu J. Chevalley groups and finite geometry. [Doctoral Dissertation]. University of Melbourne; 2018. Available from: http://hdl.handle.net/11343/212228

University of Illinois – Chicago

4. Abdelkerim, Richard. Geometry of the Dual Grassmannian.

Degree: 2011, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8051

► Linear sections of Grassmannians provide important examples of *varieties*. The geometry of these linear sections is closely tied to the spaces of *Schubert* *varieties* contained…
(more)

Subjects/Keywords: Exterior Powers of Vector Spaces; Grassmannians; Hyperplane Sections; Schubert Varieties

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APA (6^{th} Edition):

Abdelkerim, R. (2011). Geometry of the Dual Grassmannian. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8051

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):

Abdelkerim, Richard. “Geometry of the Dual Grassmannian.” 2011. Thesis, University of Illinois – Chicago. Accessed July 12, 2020. http://hdl.handle.net/10027/8051.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Abdelkerim, Richard. “Geometry of the Dual Grassmannian.” 2011. Web. 12 Jul 2020.

Vancouver:

Abdelkerim R. Geometry of the Dual Grassmannian. [Internet] [Thesis]. University of Illinois – Chicago; 2011. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10027/8051.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Abdelkerim R. Geometry of the Dual Grassmannian. [Thesis]. University of Illinois – Chicago; 2011. Available from: http://hdl.handle.net/10027/8051

Not specified: Masters Thesis or Doctoral Dissertation

Texas State University – San Marcos

5. McAlmon, Robert. Bruhat Order and Coxeter Hyperplane Arrangements.

Degree: MS, Mathematics, 2018, Texas State University – San Marcos

URL: https://digital.library.txstate.edu/handle/10877/7366

► In the paper “Bruhat order, rationally smooth *Schubert* *varieties*, and hyperplane arrangements,” S. Oh and H. Yoo studied *Schubert* *varieties* in generalized flag manifolds by…
(more)

Subjects/Keywords: Bruhat order; Parabolic quotients; Hyperplanes; Coxeter arrangement; Palindromic; Symmetric functions; Schubert varieties

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APA (6^{th} Edition):

McAlmon, R. (2018). Bruhat Order and Coxeter Hyperplane Arrangements. (Masters Thesis). Texas State University – San Marcos. Retrieved from https://digital.library.txstate.edu/handle/10877/7366

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

McAlmon, Robert. “Bruhat Order and Coxeter Hyperplane Arrangements.” 2018. Masters Thesis, Texas State University – San Marcos. Accessed July 12, 2020. https://digital.library.txstate.edu/handle/10877/7366.

MLA Handbook (7^{th} Edition):

McAlmon, Robert. “Bruhat Order and Coxeter Hyperplane Arrangements.” 2018. Web. 12 Jul 2020.

Vancouver:

McAlmon R. Bruhat Order and Coxeter Hyperplane Arrangements. [Internet] [Masters thesis]. Texas State University – San Marcos; 2018. [cited 2020 Jul 12]. Available from: https://digital.library.txstate.edu/handle/10877/7366.

Council of Science Editors:

McAlmon R. Bruhat Order and Coxeter Hyperplane Arrangements. [Masters Thesis]. Texas State University – San Marcos; 2018. Available from: https://digital.library.txstate.edu/handle/10877/7366

University of Toronto

6. Caviedes Castro, Alexander. Upper Bounds for the Gromov Width of Coadjoint Orbits of Compact Lie Groups.

Degree: PhD, 2014, University of Toronto

URL: http://hdl.handle.net/1807/73788

► This thesis is devoted to the problem of estimating the size of balls that can be symplectically embedded in symplectic manifolds. This symplectic invariant is…
(more)

Subjects/Keywords: Coadjoint Orbits; Gromov Width; Gromov Witten invariants; J-Holomorphic Curves; Schubert Varieties; Symplectic Capacities; 0405

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APA (6^{th} Edition):

Caviedes Castro, A. (2014). Upper Bounds for the Gromov Width of Coadjoint Orbits of Compact Lie Groups. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/73788

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

Caviedes Castro, Alexander. “Upper Bounds for the Gromov Width of Coadjoint Orbits of Compact Lie Groups.” 2014. Doctoral Dissertation, University of Toronto. Accessed July 12, 2020. http://hdl.handle.net/1807/73788.

MLA Handbook (7^{th} Edition):

Caviedes Castro, Alexander. “Upper Bounds for the Gromov Width of Coadjoint Orbits of Compact Lie Groups.” 2014. Web. 12 Jul 2020.

Vancouver:

Caviedes Castro A. Upper Bounds for the Gromov Width of Coadjoint Orbits of Compact Lie Groups. [Internet] [Doctoral dissertation]. University of Toronto; 2014. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/1807/73788.

Council of Science Editors:

Caviedes Castro A. Upper Bounds for the Gromov Width of Coadjoint Orbits of Compact Lie Groups. [Doctoral Dissertation]. University of Toronto; 2014. Available from: http://hdl.handle.net/1807/73788

Colorado State University

7.
Marrinan, Timothy P.
Grassmann, Flag, and *Schubert* *varieties* in applications.

Degree: PhD, Mathematics, 2017, Colorado State University

URL: http://hdl.handle.net/10217/181430

► This dissertation develops mathematical tools for signal processing and pattern recognition tasks where data with the same identity is assumed to vary linearly. We build…
(more)

Subjects/Keywords: Grassmann manifolds; pattern analysis; singular value decomposition; hyperspectral images; Flag manifolds; Schubert varieties

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APA (6^{th} Edition):

Marrinan, T. P. (2017). Grassmann, Flag, and Schubert varieties in applications. (Doctoral Dissertation). Colorado State University. Retrieved from http://hdl.handle.net/10217/181430

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

Marrinan, Timothy P. “Grassmann, Flag, and Schubert varieties in applications.” 2017. Doctoral Dissertation, Colorado State University. Accessed July 12, 2020. http://hdl.handle.net/10217/181430.

MLA Handbook (7^{th} Edition):

Marrinan, Timothy P. “Grassmann, Flag, and Schubert varieties in applications.” 2017. Web. 12 Jul 2020.

Vancouver:

Marrinan TP. Grassmann, Flag, and Schubert varieties in applications. [Internet] [Doctoral dissertation]. Colorado State University; 2017. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10217/181430.

Council of Science Editors:

Marrinan TP. Grassmann, Flag, and Schubert varieties in applications. [Doctoral Dissertation]. Colorado State University; 2017. Available from: http://hdl.handle.net/10217/181430

University of Hong Kong

8.
Mouquin, Victor Fabien.
On a Deodhar-type
decomposition and a Poisson structure on double Bott-Samelson
* varieties*.

Degree: 2013, University of Hong Kong

URL: http://hdl.handle.net/10722/195988

► Flag *varieties* of reductive Lie groups and their subvarieties play a central role in representation theory. In the early 1980s, V. Deodhar introduced a decomposition…
(more)

Subjects/Keywords: Decomposition (Mathematics); Poisson manifolds; Schubert varieties

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APA (6^{th} Edition):

Mouquin, V. F. (2013). On a Deodhar-type decomposition and a Poisson structure on double Bott-Samelson varieties. (Thesis). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/195988

Not specified: Masters Thesis or Doctoral Dissertation

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

Mouquin, Victor Fabien. “On a Deodhar-type decomposition and a Poisson structure on double Bott-Samelson varieties.” 2013. Thesis, University of Hong Kong. Accessed July 12, 2020. http://hdl.handle.net/10722/195988.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Mouquin, Victor Fabien. “On a Deodhar-type decomposition and a Poisson structure on double Bott-Samelson varieties.” 2013. Web. 12 Jul 2020.

Vancouver:

Mouquin VF. On a Deodhar-type decomposition and a Poisson structure on double Bott-Samelson varieties. [Internet] [Thesis]. University of Hong Kong; 2013. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10722/195988.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mouquin VF. On a Deodhar-type decomposition and a Poisson structure on double Bott-Samelson varieties. [Thesis]. University of Hong Kong; 2013. Available from: http://hdl.handle.net/10722/195988

Not specified: Masters Thesis or Doctoral Dissertation

Northeastern University

9.
Brown, Justin Allen.
Some geometric properties of certain toric *varieties* and *Schubert* * varieties*.

Degree: PhD, Department of Mathematics, 2009, Northeastern University

URL: http://hdl.handle.net/2047/d10018438

► This thesis has three distinct chapters: Bruhat-Hibi toric *varieties*, Gorenstein *Schubert* *varieties* in a minuscule G/P, and Wahl's conjecture for a minuscule G/P. We begin…
(more)

Subjects/Keywords: Algebraic geometry; Distributive lattice theory; Toric varieties; Schubert varieties; Algebraic varieties; Geometry (Algebraic); Mathematics

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

APA (6^{th} Edition):

Brown, J. A. (2009). Some geometric properties of certain toric varieties and Schubert varieties. (Doctoral Dissertation). Northeastern University. Retrieved from http://hdl.handle.net/2047/d10018438

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

Brown, Justin Allen. “Some geometric properties of certain toric varieties and Schubert varieties.” 2009. Doctoral Dissertation, Northeastern University. Accessed July 12, 2020. http://hdl.handle.net/2047/d10018438.

MLA Handbook (7^{th} Edition):

Brown, Justin Allen. “Some geometric properties of certain toric varieties and Schubert varieties.” 2009. Web. 12 Jul 2020.

Vancouver:

Brown JA. Some geometric properties of certain toric varieties and Schubert varieties. [Internet] [Doctoral dissertation]. Northeastern University; 2009. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/2047/d10018438.

Council of Science Editors:

Brown JA. Some geometric properties of certain toric varieties and Schubert varieties. [Doctoral Dissertation]. Northeastern University; 2009. Available from: http://hdl.handle.net/2047/d10018438

University of Melbourne

10.
Ortiz Branco, Omar Enrique.
* Schubert* calculus for p-compact groups.

Degree: 2013, University of Melbourne

URL: http://hdl.handle.net/11343/38362

► This work studies the homogeneous spaces of p-compact groups, principally through torus-equivariant cohomology, extending methods and tools of classical *Schubert* calculus and moment graph theory…
(more)

Subjects/Keywords: Schubert calculus; GKM theory; p-compact groups; homotopy Lie groups; moment graphs; Bruhat graphs; flag varieties; homogeneous spaces; equivariant cohomology; complex reflection groups

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APA (6^{th} Edition):

Ortiz Branco, O. E. (2013). Schubert calculus for p-compact groups. (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/38362

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

Ortiz Branco, Omar Enrique. “Schubert calculus for p-compact groups.” 2013. Doctoral Dissertation, University of Melbourne. Accessed July 12, 2020. http://hdl.handle.net/11343/38362.

MLA Handbook (7^{th} Edition):

Ortiz Branco, Omar Enrique. “Schubert calculus for p-compact groups.” 2013. Web. 12 Jul 2020.

Vancouver:

Ortiz Branco OE. Schubert calculus for p-compact groups. [Internet] [Doctoral dissertation]. University of Melbourne; 2013. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/11343/38362.

Council of Science Editors:

Ortiz Branco OE. Schubert calculus for p-compact groups. [Doctoral Dissertation]. University of Melbourne; 2013. Available from: http://hdl.handle.net/11343/38362

University of Hong Kong

11.
Elek, Balázes.
Computing the standard
Poisson structure on Bott-Samelson *varieties*
incoordinates.

Degree: 2012, University of Hong Kong

URL: http://hdl.handle.net/10722/173875

► Bott-Samelson *varieties* associated to reductive algebraic groups are much studied in representation theory and algebraic geometry. They not only provide resolutions of singularities for *Schubert*…
(more)

Subjects/Keywords: Root systems (Algebra); Poisson manifolds.; Lie groups; Schubert varieties; Coordinates.

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APA (6^{th} Edition):

Elek, B. (2012). Computing the standard Poisson structure on Bott-Samelson varieties incoordinates. (Thesis). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/173875

Not specified: Masters Thesis or Doctoral Dissertation

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

Elek, Balázes. “Computing the standard Poisson structure on Bott-Samelson varieties incoordinates.” 2012. Thesis, University of Hong Kong. Accessed July 12, 2020. http://hdl.handle.net/10722/173875.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Elek, Balázes. “Computing the standard Poisson structure on Bott-Samelson varieties incoordinates.” 2012. Web. 12 Jul 2020.

Vancouver:

Elek B. Computing the standard Poisson structure on Bott-Samelson varieties incoordinates. [Internet] [Thesis]. University of Hong Kong; 2012. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10722/173875.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Elek B. Computing the standard Poisson structure on Bott-Samelson varieties incoordinates. [Thesis]. University of Hong Kong; 2012. Available from: http://hdl.handle.net/10722/173875

Not specified: Masters Thesis or Doctoral Dissertation

12.
Koonz, Jennifer.
Properties of Singular *Schubert* * Varieties*.

Degree: PhD, Mathematics, 2013, U of Massachusetts : PhD

URL: https://scholarworks.umass.edu/open_access_dissertations/839

► This thesis deals with the study of *Schubert* *varieties*, which are subsets of flag *varieties* indexed by elements of Weyl groups. We start by…
(more)

Subjects/Keywords: Combinatorics; Hecke Algebra; Intersection Cohomology; Kazhdan-Lusztig Polynomials; Schubert Varieties; Mathematics

…of the Closure Polynomial . . . . . . . . .
Results on Nonsingular *Schubert* *Varieties* of… …Type A
Results on Singular *Schubert* *Varieties* of Type A . .
Future Work… …the B-orbit of ew . Since *Schubert* *varieties* are indexed by elements
of the Weyl group of G… …many geometric properties of *Schubert* *varieties* can be
determined by studying the… …cohomology Poincar´
e polynomials of *Schubert* *varieties* (which can be computed using Kazhdan…

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

APA (6^{th} Edition):

Koonz, J. (2013). Properties of Singular Schubert Varieties. (Doctoral Dissertation). U of Massachusetts : PhD. Retrieved from https://scholarworks.umass.edu/open_access_dissertations/839

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

Koonz, Jennifer. “Properties of Singular Schubert Varieties.” 2013. Doctoral Dissertation, U of Massachusetts : PhD. Accessed July 12, 2020. https://scholarworks.umass.edu/open_access_dissertations/839.

MLA Handbook (7^{th} Edition):

Koonz, Jennifer. “Properties of Singular Schubert Varieties.” 2013. Web. 12 Jul 2020.

Vancouver:

Koonz J. Properties of Singular Schubert Varieties. [Internet] [Doctoral dissertation]. U of Massachusetts : PhD; 2013. [cited 2020 Jul 12]. Available from: https://scholarworks.umass.edu/open_access_dissertations/839.

Council of Science Editors:

Koonz J. Properties of Singular Schubert Varieties. [Doctoral Dissertation]. U of Massachusetts : PhD; 2013. Available from: https://scholarworks.umass.edu/open_access_dissertations/839

University of Notre Dame

13.
Benjamin F Jones.
On the Singular Chern Classes of *Schubert* *Varieties* Via
Small Resolution</h1>.

Degree: Mathematics, 2007, University of Notre Dame

URL: https://curate.nd.edu/show/z316pz53293

► We compute the Chern-Schwartz-MacPherson (CSM) class of a *Schubert* variety in a Grassmannian using a small resolution introduced by Zelevinsky. As a consequence, we…
(more)

Subjects/Keywords: Mather Chern class; MacPherson Chern Class; Chern class; Schubert Varieties; singularities; resolution; algebraic group

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APA (6^{th} Edition):

Jones, B. F. (2007). On the Singular Chern Classes of Schubert Varieties Via Small Resolution</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/z316pz53293

Not specified: Masters Thesis or Doctoral Dissertation

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

Jones, Benjamin F. “On the Singular Chern Classes of Schubert Varieties Via Small Resolution</h1>.” 2007. Thesis, University of Notre Dame. Accessed July 12, 2020. https://curate.nd.edu/show/z316pz53293.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Jones, Benjamin F. “On the Singular Chern Classes of Schubert Varieties Via Small Resolution</h1>.” 2007. Web. 12 Jul 2020.

Vancouver:

Jones BF. On the Singular Chern Classes of Schubert Varieties Via Small Resolution</h1>. [Internet] [Thesis]. University of Notre Dame; 2007. [cited 2020 Jul 12]. Available from: https://curate.nd.edu/show/z316pz53293.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Jones BF. On the Singular Chern Classes of Schubert Varieties Via Small Resolution</h1>. [Thesis]. University of Notre Dame; 2007. Available from: https://curate.nd.edu/show/z316pz53293

Not specified: Masters Thesis or Doctoral Dissertation

14. Aslan, Songul. The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1).

Degree: PhD, Mathematics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/93039

► The study of curves on flag manifolds is motivated by questions in enumerative geometry and physics. To a space of curves and incidence conditions one…
(more)

Subjects/Keywords: Affine Flag Manifolds; Schubert Varieties; Curve Neighborhoods; Moment Graph; Combinatorial Curve Neighborhoods

…for the curve neighborhoods of *Schubert* *varieties* in the affine flag
(1)
manifold…

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APA (6^{th} Edition):

Aslan, S. (2019). The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1). (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/93039

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

Aslan, Songul. “The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1).” 2019. Doctoral Dissertation, Virginia Tech. Accessed July 12, 2020. http://hdl.handle.net/10919/93039.

MLA Handbook (7^{th} Edition):

Aslan, Songul. “The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1).” 2019. Web. 12 Jul 2020.

Vancouver:

Aslan S. The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1). [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10919/93039.

Council of Science Editors:

Aslan S. The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1). [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/93039

15. Miller, Jason A. Okounkov Bodies of Borel Orbit Closures in Wonderful Group Compactifications.

Degree: PhD, Mathematics, 2014, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1397599845

► This thesis draws a connection between two areas of algebraic geometry, spherical *varieties* and Okounkov bodies, in order to study the structure of Borel orbit…
(more)

Subjects/Keywords: Mathematics; spherical varieties; Okounkov; wonderful group compactifications; Borel orbits; toric varieties; flag varieties; Newton-Okounkov; polytopes; string polytope; moment polytope; algebraic geometry; Schubert varieties; standard monomial theory; crystal basis

…17
18
29
31
36
Complete Flag *Varieties* and their *Schubert* *Varieties*… …General Results on Complete Flag *Varieties* . . . . . . . . . . . . .
4.3 *Schubert* *varieties*… …generalization to line bundles on *Schubert* *varieties*.
Chapter 5 introduces the fundamental concept of… …*Schubert* *varieties* of complete flag *varieties*. This material will serve as a necessary
step for… …Mourier-Genoud, have proved results about toric degenerations of *Schubert* *varieties* from several…

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APA (6^{th} Edition):

Miller, J. A. (2014). Okounkov Bodies of Borel Orbit Closures in Wonderful Group Compactifications. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1397599845

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

Miller, Jason A. “Okounkov Bodies of Borel Orbit Closures in Wonderful Group Compactifications.” 2014. Doctoral Dissertation, The Ohio State University. Accessed July 12, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1397599845.

MLA Handbook (7^{th} Edition):

Miller, Jason A. “Okounkov Bodies of Borel Orbit Closures in Wonderful Group Compactifications.” 2014. Web. 12 Jul 2020.

Vancouver:

Miller JA. Okounkov Bodies of Borel Orbit Closures in Wonderful Group Compactifications. [Internet] [Doctoral dissertation]. The Ohio State University; 2014. [cited 2020 Jul 12]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1397599845.

Council of Science Editors:

Miller JA. Okounkov Bodies of Borel Orbit Closures in Wonderful Group Compactifications. [Doctoral Dissertation]. The Ohio State University; 2014. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1397599845