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

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.

### MSC:

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

Zbl 1422.14003
Full Text:

### References:

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