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L’auteur montre que, si l’anneau local d’un point d’une variété algébrique est intégralement clos (c’est-à-dire si est un point normal), alors le complété est un anneau d’intégrité (irréductibilité analytique de en ; résultat déjà connu) lui-même intégralement clos (normalité analytique). La démonstration donne à la fois l’irréductibilité et la normalité analytiques de , et est nettement plus simple que la première démonstration d’irréductibilité analytique donnée il y a deux ans...
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