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Castaño Domínguez, Alberto; Reichelt, Thomas; Sevenheck, Christian

Examples of Hypergeometric twistor \(\mathcal{D}\)-modules. (English) Zbl 1440.14099

Algebra Number Theory 13, No. 6, 1415-1442 (2019).
Summary: We show that certain one-dimensional hypergeometric differential systems underlie objects of the category of irregular mixed Hodge modules, which was recently introduced by C. Sabbah [Mém. Soc. Math. Fr., Nouv. Sér. 156, 1–126 (2018; Zbl 1422.14003)], 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.

Cited in 1 Review
Cited in 2 Documents

MSC:

14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
32C38 Sheaves of differential operators and their modules, \(D\)-modules

Keywords:

\(\mathcal{D}\)-modules; irregular Hodge filtration; twistor \(\mathcal{D}\)-modules; Fourier-Laplace transformation; hypergeometric D-modules

Citations:

Zbl 1422.14003
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\textit{A. Castaño Domínguez} et al., Algebra Number Theory 13, No. 6, 1415--1442 (2019; Zbl 1440.14099)
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