3 citations · 4 across the 4 of their papers we have counts for
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math.AG2004
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…
math.CO2004★ 3 cited
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…
math.AC2004★ 1 cited
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.…