Dwork families and $\mathcal{D}$-modules

Alberto Casta\~no Dom\'inguez

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Dwork families and mathcal{D}-modules

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arxiv 1512.08390 v4 pith:MVE4Z3HN submitted 2015-12-28 math.AG

Dwork families and $\mathcal{D}$-modules

Alberto Casta\~no Dom\'inguez This is my paper

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keywords dworkmathcalmodulesachieveactionalgebraicalgebraicallyautomorphisms

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abstract

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.

Dwork families and $\mathcal{D}$-modules

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