Irregular Hodge filtration of some confluent hypergeometric systems

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.

32 pages, final version

References in corpus (2)

• Hodge-Tate conditions for Landau-Ginzburg models
• Examples of hypergeometric twistor $\mathcal{D}$-modules

Cited by in corpus (4)

• Algebraic aspects of hypergeometric differential equations
• Stokes matrices for confluent hypergeometric equations
• Irregular Hodge numbers for rigid $G_2$-connections
• Tautological systems and free divisors