3 citations · 4 across the 4 of their papers we have counts for
6 papers
Homological Methods for Hypergeometric Families
Laura Felicia Matusevich, Ezra Miller, Uli Walther
We analyze the behavior of the holonomic rank in families of holonomic systems over complex algebraic varieties by providing homological criteria for rank-jumps in this general set…
Arbitrary rank jumps for -hypergeometric systems through Laurent polynomials
Laura Felicia Matusevich, Uli Walther
We investigate the solution space of hypergeometric systems of differential equations in the sense of Gelfand, Graev, Kapranov and Zelevinsky. For any integer we constru…
Combinatorics of rank jumps in simplicial hypergeometric systems
Laura Felicia Matusevich, Ezra Miller
Let A be an integer (d x n) matrix, and assume that the convex hull conv(A) of its columns is a simplex of dimension d-1. Write \NA for the semigroup generated by the columns of A.…
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…
Exceptional parameters for generic A-hypergeometric systems
Laura Felicia Matusevich
The holonomic rank of an A-hypergeometric system is conjectured to be independent of the parameter vector if and only if the toric ideal is Cohen Macaulay. We pr…
Rank jumps in Codimension 2 A-Hypergeometric Systems
Laura Felicia Matusevich
The holonomic rank of the A-hypergeometric system H_A(β) is shown to depend on the parameter vector βwhen the underlying toric ideal I_A is a non Cohen Macaulay codimension 2 toric…