Dwork families and $\mathcal{D}$-modules
Algebraic Geometry
2019-12-13 v4
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 -modules, especially one-dimensional hypergeometric ones.
Cite
@article{arxiv.1512.08390,
title = {Dwork families and $\mathcal{D}$-modules},
author = {Alberto Castaño Domínguez},
journal= {arXiv preprint arXiv:1512.08390},
year = {2019}
}
Comments
24 pages, final version