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arXiv · 1803.04886

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

Alberto Castaño Domínguez·Thomas Reichelt·Christian Sevenheck
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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.

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Alberto Castaño Domínguez, Thomas Reichelt, Christian Sevenheck. 2019-01-04. Examples of hypergeometric twistor $\mathcal{D}$-modules. https://doi.org/10.2140/ant.2019.13.1415

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