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Examples of
hypergeometric twistor $\mathcal{D}$-modules
Alberto Castaño DomĂnguez, Thomas Reichelt and Christian Sevenheck |
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Vol. 13 (2019), No. 6, 1415–1442
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DOI: 10.2140/ant.2019.13.1415
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Abstract |
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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 -modules. |
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Keywords
D-modules, irregular Hodge filtration, twistor D-modules,
Fourier–Laplace transformation, hypergeometric D-modules
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Mathematical Subject Classification 2010
Primary: 14F10
Secondary: 32C38
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Milestones
Received: 17 July 2018
Revised: 28 January 2019
Accepted: 8 March 2019
Published: 18 August 2019
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Authors |
| Alberto Castaño DomĂnguez | |
| Instituto de Matemáticas Universidade de Santiago de Compostela Spain |
Fakultät für Mathematik Technische Universität Chemnitz Chemnitz Germany |
| Thomas Reichelt | |
| Mathematisches Institut Universität Heidelberg Heidelberg Germany |
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| Christian Sevenheck | |
| Fakultät für Mathematik Technische Universität Chemnitz Chemnitz Germany |
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