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Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules
Part of
Thomas Reichelt
Journal:

Compositio Mathematica / Volume 150 / Issue 6 / June 2014

Published online by Cambridge University Press:

24 April 2014, pp. 911-941

Print publication:

June 2014
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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.

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Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules