Examples of hypergeometric twistor $\mathcal{D}$-modules

Abstract

We show that certain one-dimensional hypergeometric differential systems underlie objects of the category of irregular mixed Hodge modules, which was recently introduced by Sabbah, and compute the irregular Hodge filtration for them. We also provide a comparison theorem between two different types of Fourier-Laplace transformation for algebraic integrable twistor $\mathcal{D}$-modules.

arXiv comment21 pages

References in corpus (6)

• Hypergeometric D-modules and twisted Gauss-Manin systems
• E_1-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito)
• Variations of Hodge structures for hypergeometric differential operators and parabolic Higgs bundles
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Cited by in corpus (3)

• Algebraic aspects of hypergeometric differential equations
• Irregular Hodge filtration of some confluent hypergeometric systems
• Irregular Hodge filtration of hypergeometric differential equations