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arXiv:1209.3941 [math.AG]AbstractReferencesReviewsResources

Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules

Thomas Reichelt

Published 2012-09-18, updated 2013-09-03Version 2

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.

Comments: 34 pages
Categories: math.AG
Subjects: 32S40, 14D07, 32S35
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