Dwork families and \(\mathcal D\)-modules (Q2280498)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dwork families and \(\mathcal D\)-modules |
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Dwork families and \(\mathcal D\)-modules (English)
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18 December 2019
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Summary: A Dwork family is a one-parameter monomial deformation of a Fermat hypersurface. In this paper we compute algebraically the invariant part of its Gauss-Manin cohomology under the action of certain subgroup of automorphisms. To achieve that goal we use the algebraic theory of \(\mathcal D\)-modules, especially one-dimensional hypergeometric ones.
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\( \mathcal D\)-modules
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Gauss-Manin systems
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Dwork families
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hypergeometric \(\mathcal D\)-modules
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