Results 11 to 20 of about 4,466 (196)
Homological projective duality for determinantal varieties
Advances in Mathematics, 2016 23 pages.
Bernardara, Marcello +2 more
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Mixed Ladder Determinantal Varieties
Journal of Algebra, 2000 The authors generalize the notion of ladder determinantal varieties, which was introduced by Abhyankar, by allowing ideals of minors of different size of a matrix of indeterminates. Then they explore the relation between these mixed ladder determinantal varieties and Schubert varieties. Next they show that, up to product by affine spaces, each of these
Gonciulea, Nicolae, Miller, Claudia
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Geometric rank and linear determinantal varieties
European Journal of Mathematics, 2023 There are close relations between tripartite tensors with bounded geometric ranks and linear determinantal varieties with bounded codimensions. We study linear determinantal varieties with bounded codimensions, and prove upper bounds of the dimensions of the ambient spaces.
Runshi Geng
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Linear codes associated to determinantal varieties
Discrete Mathematics, 2015 We consider a class of linear codes associated to projective algebraic varieties defined by the vanishing of minors of a fixed size of a generic matrix. It is seen that the resulting code has only a small number of distinct weights. The case of varieties defined by the vanishing of 2 x 2 minors is considered in some detail.
BEELEN, P, GHORPADE, SR, UL HASAN, S
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Determinantal varieties over truncated polynomial rings
Journal of Pure and Applied Algebra, 2005 29 pages, 1 ...
Košir, Tomaž, Sethuraman, B.A.
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Young diagrams and determinantal varieties
Inventiones Mathematicae, 1980 [No abstract available]
DE CONCINI, Corrado +2 more
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Schubert varieties, toric varieties and ladder determinantal varieties [PDF]
Annales de l'Institut Fourier, 1997 We construct certain normal toric varieties (associated to finite distributive lattices) which are degenerations of the Grassmannians. We also determine the singular loci for certain normal toric varieties, namely the ones which are certain ladder determinantal varieties. As a consequence, we prove a refined version of the conjecture of Laksmibai &
Gonciulea, Nicolae +1 more
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Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties [PDF]
, 2012 The two-dimensional supersymmetric gauged linear sigma model (GLSM) with abelian gauge groups and matter fields has provided many insights into string theory on Calabi--Yau manifolds of a certain type: complete intersections in toric varieties.
Jockers, Hans +4 more
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On Determinantal Varieties of Hankel Matrices [PDF]
Algebra, 2014 Let ℌ be a class of n×n Hankel matrices HA whose entries, depending on a given matrix A, are linear forms in n variables with coefficients in a finite field 𝔽q. For every matrix in ℌ, it is shown that the varieties specified by the leading minors of orders from 1 to n-1 have the same number qn-1 of points in 𝔽qn.
Edoardo Ballico, Michele Elia
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Two-dimensional gauge dynamics and the topology of singular determinantal varieties
Journal of High Energy Physics, 2017 We record an observation about the Witten indices in two families of gauged linear sigma models: the U(2) model for linear sections of Grassmannians, and the U(1) model for quadric complete intersections. We describe how the Witten indices are related to
Kenny Wong
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