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La variété de Picard d'une variété normale

André NéronPierre Samuel — 1952

Annales de l'institut Fourier

Ce travail est consacré à une démonstration de l’existence de la variété de Picard P ( V ) de toute variété algébrique normale V définie sur un domaine universel de caractéristique quelconque. Soient G α (resp. G l ) le groupe des diviseurs algébriquement (resp. linéairement) équivalents à zéro sur V . La variété P ( V ) , par définition, doit être abélienne et telle qu’il existe un isomorphisme birationnel de G α / G l sur P ( V ) . La méthode utilisée, exclusivement algébrique, consiste à “fibrer” V par une famille...

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