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Étude des congruences du type “Kummer” entre les nombres de Bernoulli relatifs à un caractère du groupe .
Application à la construction et à l’étude des fonctions de Léopoldt en utilisant les méthodes de l’interpolation -adique.
Soient un espace analytique affinoïde réduit sur un corps complet pour une valeur absolue non archimédienne, sa réduction canonique et un point de la variété algébrique affine . Ce travail décrit la singularité du point à l’aide d’objets associés à l’espace : la localisation formelle qui est une -algèbre noethérienne de spectre maximal et dont la réduction est ; un complété formel qui est une -algèbre noethérienne dont la réduction est . Les résultats essentiels sont obtenus...
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