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Cohomologie log plate, actions modérées et structures galoisiennes

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorGILLIBERT, Jean
dc.date.accessioned2024-04-04T02:26:32Z
dc.date.available2024-04-04T02:26:32Z
dc.date.created2010-11-10
dc.date.issued2012
dc.identifier.issn0075-4102
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189956
dc.description.abstractEnLet $X$ be a fine and saturated log scheme, and let $G$ be a commutative finite flat group scheme over the underlying scheme of $X$. If $G$-torsors for the fppf topology can be thought of as being unramified objects by nature, then $G$-torsors for the log flat topology allow us to consider tame ramification. Using the results of Kato, we define a concept of Galois structure for these torsors, then we generalize the author's previous constructions (class-invariant homomorphism for semi-stable abelian varieties) in this new setting, thus dropping some restrictions.
dc.language.isofr
dc.publisherWalter de Gruyter
dc.titleCohomologie log plate, actions modérées et structures galoisiennes
dc.typeArticle de revue
dc.identifier.doi10.1515/CRELLE.2011.113
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0905.1902
bordeaux.journalJournal für die reine und angewandte Mathematik
bordeaux.page1-33
bordeaux.volume666
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00637359
hal.version1
hal.popularnon
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00637359v1
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