Irregular Hodge filtration of some confluent hypergeometric systems
Algebraic Geometry
2021-07-01 v5
Abstract
We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric -modules. We obtain in particular a formula for the irregular Hodge numbers of these systems. We use the reduction of hypergeometric systems from GKZ-systems as well as comparison results to Gauss-Manin systems of Laurent polynomials via Fourier-Laplace and Radon transformations.
Keywords
Cite
@article{arxiv.1707.03259,
title = {Irregular Hodge filtration of some confluent hypergeometric systems},
author = {Alberto Castaño Domínguez and Christian Sevenheck},
journal= {arXiv preprint arXiv:1707.03259},
year = {2021}
}
Comments
32 pages, final version