2009/05/12 by Jean Gillibert, Gillibert, Jean
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT
paper · pdf · doi:10.48550/arxiv.0905.1902
35 pages, LaTeX. Proof of Lemme 3.3 corrected. Minor modifications. Accepted for publication in Crelle's Journal
arxiv created 2010/11/10 · arxiv updated 2010/11/12
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.