Hypergeometric Hodge modules
arXiv:1503.01004
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.
77 pages, 2 figures
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- Irregularity of hypergeometric systems via slopes along coordinate subspaces
- Hypergeometric D-modules and twisted Gauss-Manin systems
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