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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.

Cohomologie log plate, actions modérées et structures galoisiennes