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Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules (1209.3941v2)
Published 18 Sep 2012 in math.AG
Abstract: Given a family of Laurent polynomials, we will construct a morphism between its (proper) Gauss-Manin system and a direct sum of associated GKZ systems. The kernel and cokernel of this morphism are very simple and consist of free O-modules. The result above enables us to put a mixed Hodge module structure on certain classes of GKZ systems and shows that they have quasi-unipotent monodromy.