Hypergeometric Hodge modules
Algebraic Geometry
2020-04-16 v7
Abstract
We consider mixed Hodge module structures on GKZ-hypergeometric differential systems. We show that the Hodge filtration on these D-modules is given by the order filtration, up to suitable shift. As an application, we prove a conjecture on the existence of non-commutative Hodge structures on the reduced quantum D-module of a nef complete intersection inside a toric variety.
Keywords
Cite
@article{arxiv.1503.01004,
title = {Hypergeometric Hodge modules},
author = {Thomas Reichelt and Christian Sevenheck},
journal= {arXiv preprint arXiv:1503.01004},
year = {2020}
}
Comments
77 pages, 2 figures