Algebra & Number Theory

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

Alberto Castaño Domínguez, Thomas Reichelt, and Christian Sevenheck

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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 D -modules.

Article information

Algebra Number Theory, Volume 13, Number 6 (2019), 1415-1442.

Received: 17 July 2018
Revised: 28 January 2019
Accepted: 8 March 2019
First available in Project Euclid: 21 August 2019

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14F10: Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials [See also 13Nxx, 32C38]
Secondary: 32C38: Sheaves of differential operators and their modules, D-modules [See also 14F10, 16S32, 35A27, 58J15]

D-modules irregular Hodge filtration twistor D-modules Fourier–Laplace transformation hypergeometric D-modules


Castaño Domínguez, Alberto; Reichelt, Thomas; Sevenheck, Christian. Examples of hypergeometric twistor $\mathcal{D}$-modules. Algebra Number Theory 13 (2019), no. 6, 1415--1442. doi:10.2140/ant.2019.13.1415.

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