Cohomologie log plate, actions modérées et structures galoisiennes

GILLIBERT, Jean

doi:10.1515/CRELLE.2011.113

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GILLIBERT, Jean
Institut de Mathématiques de Bordeaux [IMB]

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Journal für die reine und angewandte Mathematik. 2012, vol. 666, p. 1-33

Walter de Gruyter

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Let $X$ 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.< Leer menos

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