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Sur la 2-cohomologie non abélienne des modèles réguliers des anneaux locaux henséliens

Jean-Claude Douai (2009)

Journal de Théorie des Nombres de Bordeaux

Soit A un anneau Notherien, local, Henselien, excellent, de corps résiduel k , k étant ou algébriquement clos de caractéristique 0 ou un corps fini, X S p e c A un morphisme propre dont la fibre spéciale X 0 S p e c A est de dimension au plus 1. Dans ce papier, nous complètons les résultats de [1] en montrant que si X est régulier et si L est un X e t -lien localement représentable par un groupe semi-simple simplement connexe, alors toutes les classes de H 2 ( X e t , L ) sont neutres. Prenant pour X un modèle régulier de A , nous montrons...

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