Teichmüllerraum für total degenerierte Kurven.
Let be an algebraically closed field of characteristic . We study obstructions to lifting to characteristic the faithful continuous action of a finite group on . To each such a theorem of Katz and Gabber associates an action of on a smooth projective curve over . We say that the KGB obstruction of vanishes if acts on a smooth projective curve in characteristic in such a way that and have the same genus for all subgroups . We determine for which the KGB obstruction...
L’auteur présente des applications élémentaires de la théorie du corps de classes de Kato et Parshin en dimensions 1 et 3 : calcul du conducteur d’une extension de Witt-Artin-Schreier d’un corps local de dimension 1, et étude des revêtements abéliens des surfaces.