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math.AG2005
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…
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…