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Modules différentiels sur les couronnes

Gilles ChristolBernard Dwork — 1994

Annales de l'institut Fourier

Dans cet article, nous étudions les modules libres de type fini sur l’anneau [ d / d x ] est l’anneau des éléments analytiques dans une couronne r 1 < | x | < r 2 de p . D’une part, nous définissons, pour chaque nombre r de [ r 1 , r 2 ] , un rayon de convergence “générique" et nous montrons que celui-ci dépend continûment de r . D’autre part, nous étudions l’existence et l’unicité d’un “antécédent de Frobenius".

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