Bivariate hypergeometric D-modules

Details Bivariate hypergeometric D-modules Bivariate hypergeometric D-modules

2003-09-30

arxiv.org/abs/math/0310003v2

Mathematics

Algebraic Geometry

Several changes in proofs and statements

Scientific paper

We undertake the study of bivariate Horn systems for generic parameters. We prove that these hypergeometric systems are holonomic, and we provide an explicit formula for their holonomic rank as well as bases of their spaces of complex holomorphic solutions. We also obtain analogous results for the generalized hypergeometric systems arising from lattices of any rank.

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