5 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…
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.…
Asymptotic Hodge theory and quantum products
Eduardo Cattani, Javier Fernandez
Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold one may construct a polarized variation of Hodge structure over the complexifi…
Rational Hypergeometric Functions
Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels
Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that…
The A-hypergeometric System Associated with a Monomial Curve
Eduardo Cattani, Carlos D'Andrea, Alicia Dickenstein
We make a detailed analysis of the A-hypergeometric system (or GKZ system) associated with a monomial curve and integral, hence resonant, exponents. We characterize the Laurent pol…