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math.AG2003
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…
math.AG2003
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…
math.AG2001
Local Complete Intersections in P^2 and Koszul Syzygies
David Cox, Hal Schenck
We study the syzygies of a codimension two ideal I = <f_1,f_2,f_3> in k[x,y,z]. Our main result is that the module of syzygies vanishing (scheme-theoretically) at the zero locus Z…