On the better behaved version of the GKZ hypergeometric system

Details On the better behaved version of the GKZ hypergeometric system On the better behaved version of the GKZ hypergeometric system

2010-11-26

arxiv.org/abs/1011.5720v1

Mathematics

Algebraic Geometry

LaTex, 23 pages

Scientific paper

We define 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 construct explicit solutions as $\Gamma$-series and as geometric periods in certain cases.

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