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Determinantal variety
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1	DETERMINANTAL EQUATIONS FOR SECANT VARIETIES AND THE EISENBUD-KOH-STILLMAN CONJECTURE ´ JAROSLAW BUCZYNSKI, ADAM GINENSKY, AND J.M. LANDSBERG Abstract. We address special cases of a question of Eisenbud on the ideals of Add to Reading List Source URL: www.math.tamu.edu Language: English - Date: 2012-09-28 09:17:08 Algebraic geometry Projective geometry Algebraic varieties Commutative algebra Projective variety Ring Quadric Ample line bundle Projection Dimension theory
2	FOUR POSITIVE FORMULAE FOR TYPE A QUIVER POLYNOMIALS ALLEN KNUTSON, EZRA MILLER, AND MARK SHIMOZONO Abstract. We give four positive formulae for the (equioriented type A) quiver polynomials of Buch and Fulton [BF99]. All Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2006-03-25 02:31:17 Symmetric functions Representation theory Orthogonal polynomials Schubert polynomial Algebraic geometry Young tableau Determinantal variety Quiver Polynomial Abstract algebra Algebra Mathematics
3	¨ GROBNER GEOMETRY OF VERTEX DECOMPOSITIONS AND OF FLAGGED TABLEAUX ALLEN KNUTSON, EZRA MILLER, AND ALEXANDER YONG A BSTRACT. We relate a classic algebro-geometric degeneration technique, dating Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2005-05-13 15:17:59 Algebraic topology Algebraic geometry Topological spaces Combinatorics Determinantal variety Vertex Vexillary permutation Simplicial complex CW complex Mathematics Topology Abstract algebra
4	Commutative Algebra and Algebraic Geometry Seminar Organizer: D. Eisenbud Tuesday, 3:45–6:00pm, 939 Evans Apr. 6 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-08-21 11:47:25 Symmetric functions Algebraic geometry Invariant theory Algebraic combinatorics Representation theory Schur polynomial Littlewood–Richardson rule Grassmannian Determinantal variety Abstract algebra Algebra Mathematics
5	Gr¨obner bases and singularities of Schubert varieties Alexander Yong University of Illinois at Urbana-Champaign Based on joint work with Li Li (Oakland University) Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2011-03-19 08:45:23 Algebraic geometry Representation theory Kazhdan–Lusztig polynomial Polynomials Schubert variety George Lusztig Determinantal variety Champaign Illinois Z22 Abstract algebra Algebra Algebraic combinatorics
6	Contemporary Mathematics Volume 516, 2010 Geometry of the Restricted Boltzmann Machine Mar´ıa Ang´elica Cueto, Jason Morton, and Bernd Sturmfels Abstract. The restricted Boltzmann machine is a graphical model for bina Add to Reading List Source URL: deeplearning.cs.cmu.edu Language: English - Date: 2013-10-01 00:27:08 Algebraic varieties Projective space Boltzmann machine Secant variety Determinantal variety Segre embedding Representation theory Complex projective space Projective line Geometry Projective geometry Algebraic geometry