34 citations · 48 across the 8 of their papers we have counts for
8 papers
Tate Resolutions and Weyman Complexes
David Cox, Evgeny Materov
We construct generalized Weyman complexes for coherent sheaves on projective space and describe explicitly how the differential depend on the differentials in the correpsonding Tat…
Regularity and Segre-Veronese embeddings
David Cox, Evgeny Materov
This paper studies the regularity of certain coherent sheaves that arise naturally from Segre-Veronese embeddings of a product of projective spaces. We give an explicit formula for…
Secant varieties of toric varieties
David Cox, Jessica Sidman
Let be a smooth projective toric variety of dimension embedded in $\PP^r$ using all of the lattice points of the polytope . We compute the dimension and degree of the…
A case study in bigraded commutative algebra
David Cox, Alicia Dickenstein, Hal Schenck
We study the commutative algebra of three bihomogeneous polynomials p_0,p_1,p_2 of degree (2,1) in variables x,y;z,w, assuming that they never vanish simultaneously on P^1 x P^1. U…
Codimension Theorems for Complete Toric Varieties
David Cox, Alicia Dickenstein
Let X be a complete toric variety with homogeneous coordinate ring S. In this article, we compute upper and lower bounds for the codimension in the critical degree of ideals of S g…
Universal Rational Parametrizations and Toric Varieties
David Cox, Rimvydas Krasauskas, Mircea Mustata
This note proves the existence of universal rational parametrizations. The description involves homogeneous coordinates on a toric variety coming from a lattice polytope. We first…