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Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules

Published online by Cambridge University Press:  24 April 2014

Thomas Reichelt*
Affiliation:
Lehrstuhl VI für Mathematik, Universität Mannheim, Seminargebäude A5, 68131 Mannheim, Germany email thomas.reichelt@math.uni-mannheim.de
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Abstract

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We endow certain GKZ-hypergeometric systems with a natural structure of a mixed Hodge module, which is compatible with the mixed Hodge module structure on the Gauß–Manin system of an associated family of Laurent polynomials. As an application we show that the underlying perverse sheaf of a GKZ-system with rational parameter has quasi-unipotent local monodromy.

Type
Research Article
Copyright
© The Author 2014 

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