3 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
A Localization Algorithm for -modules
Toshinori Oaku, Nobuki Takayama, Uli Walther
We present a method to compute the holonomic extension of a -module from a Zariski open set in affine space to the whole space. A particular application is the localization of c…
Algorithmic Computation of de Rham Cohomology of Complements of Complex Affine Varieties
Uli Walther
Let $X=\C^n$. In this paper we present an algorithm that computes the de Rham cohomology groups $H^i_{dR}(U,\C)$ where is the complement of an arbitrary Zariski-closed set …