Article
Dwork families and D-modules
Author/s | Castaño Domínguez, Alberto |
Department | Universidad de Sevilla. Departamento de Álgebra |
Publication Date | 2019-06-01 |
Deposit Date | 2022-12-09 |
Published in |
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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. ... 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 D-modules, especially one-dimensional hypergeometric ones. |
Citation | Castaño Domínguez, A. (2019). Dwork families and D-modules. Revista matemática iberoamericana, 35 (5), 1451-1484. https://doi.org/10.4171/rmi/1088. |