3 citations · 3 across the 4 of their papers we have counts for
9 papers
Duality and monodromy reducibility of -hypergeometric systems
Uli Walther
We study -hypergeometric systems in the sense of Gelfand, Kapranov and Zelevinsky under two aspects: the structure of their holonomically dual system, and reducibility…
On the arithmetic rank of certain Segre products
Anurag K. Singh, Uli Walther
We compute the arithmetic ranks of the defining ideals of homogeneous coordinate rings of certain Segre products arising from elliptic curves. The cohomological dimension of these…
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…
Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic arrangements
Uli Walther
In this note we determine the Bernstein-Sato polynomial of a generic central arrangement of hyperplanes. We establish a connection between the roots o…
Computing homomorphisms between holonomic D-modules
Harrison Tsai, Uli Walther
Let K be a subfield of the complex numbers, and let D be the Weyl algebra of K-linear differential operators on K[x_1,...,x_n]. If M and N are holonomic left D-modules we present a…