1 citations · 1 across the 4 of their papers we have counts for
8 papers
Complete intersections in toric ideals
Eduardo Cattani, Raymond Curran, Alicia Dickenstein
We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals I_A such that no binomial ideal contained in I_A and of th…
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…
Bivariate hypergeometric D-modules
Alicia Dickenstein, Laura Matusevich, Timur Sadykov
We undertake the study of bivariate Horn systems for generic parameters. We prove that these hypergeometric systems are holonomic, and we provide an explicit formula for their holo…
Multihomogeneous resultant formulae by means of complexes
A. Dickenstein, I. Emiris
We provide conditions and algorithmic tools so as to classify and construct the smallest possible determinantal formulae for multihomogeneous resultants arising from Weyman complex…
Balanced Configurations of Lattice Vectors and GKZ-rational Toric Fourfolds in P^6
Eduardo Cattani, Alicia Dickenstein
We introduce a notion of balanced configurations of vectors. This is motivated by the study of rational A-hypergeometric functions in the sense of Gelfand, Kapranov and Zelevinsky.…
Elimination Theory in Codimension Two
Alicia Dickenstein, Bernd Sturmfels
New formulas are given for Chow forms, discriminants and resultants arising from (not necessarily normal) toric varieties of codimension 2. Exact descriptions are also given for th…