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arXiv · 1707.03259

Irregular Hodge filtration of some confluent hypergeometric systems

Alberto Castaño Domínguez·Christian Sevenheck
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Abstract

We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric $\mathcal{D}$-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.

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Alberto Castaño Domínguez, Christian Sevenheck. 2017-07-11. Irregular Hodge filtration of some confluent hypergeometric systems. https://doi.org/10.1017/s1474748019000288

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