Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules
Algebraic Geometry
2019-02-20 v2
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.
Cite
@article{arxiv.1209.3941,
title = {Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules},
author = {Thomas Reichelt},
journal= {arXiv preprint arXiv:1209.3941},
year = {2019}
}
Comments
34 pages