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Resumen de Dwork families and D-modules

Alberto Castaño Domínguez

  • 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.


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