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

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.

arXiv comment24 pages, final version

Cited by in corpus (1)

• Exponents of some one-dimensional Gauss-Manin cohomologies