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arXiv · 1011.5720

On the better behaved version of the GKZ hypergeometric system

Lev A. Borisov·R. Paul Horja
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Abstract

We consider a version of the generalized hypergeometric system introduced by Gelfand, Kapranov and Zelevinski (GKZ) suited for the case when the underlying lattice is replaced by a finitely generated abelian group. In contrast to the usual GKZ hypergeometric system, the rank of the better behaved GKZ hypergeometric system is always the expected one. We give largely self-contained proofs of many properties of this system. The discussion is intimately related to the study of the variations of Hodge structures of hypersurfaces in algebraic tori.

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Lev A. Borisov, R. Paul Horja. 2010-11-26. On the better behaved version of the GKZ hypergeometric system. https://arxiv.org/abs/1011.5720

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