73 citations · 117 across the 17 of their papers we have counts for
17 papers
Non-splitting flags, Iterated Circuits, -matrices and Cayley configurations
Eduardo Cattani, Alicia Dickenstein
We explore four approaches to the question of defectivity for a complex projective toric variety associated with an integral configuration . The explicit tropicalization o…
Mixed Discriminants
Eduardo Cattani, Maria Angelica Cueto, Alicia Dickenstein +2
The mixed discriminant of n Laurent polynomials in n variables is the irreducible polynomial in the coefficients which vanishes whenever two of the roots coincide. The Cayley trick…
The structure of bivariate rational hypergeometric functions
Eduardo Cattani, Alicia Dickenstein, Fernando Rodriguez Villegas
We describe the structure of all codimension-two lattice configurations which admit a stable rational -hypergeometric function, that is a rational function all whose par…
Infinitesimal Variations of Hodge Structure at Infinity
Javier Fernandez, Eduardo Cattani
By analyzing the local and infinitesimal behavior of degenerating polarized variations of Hodge structure the notion of infinitesimal variation of Hodge structure at infinity is in…
Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations
Eduardo Cattani
Statements analogous to the Hard Lefschetz Theorem (HLT) and the Hodge-Riemann bilinear relations (HRR) hold in a variety of contexts: they impose restrictions on the cohomology al…
Restriction of A-Discriminants and Dual Defect Toric Varieties
Raymond Curran, Eduardo Cattani
We study the -discriminant of toric varieties. We reduce its computation to the case of irreducible configurations and describe its behavior under specialization of some of the…