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Logarithmic Ramifications of Étale Sheaves by Restricting to Curves

Logarithmic Ramifications of Étale Sheaves by Restricting to Curves

Abstract In this article, we prove that the Swan conductor of an étale sheaf on a smooth variety defined by Abbes and Saito’s logarithmic ramification theory can be computed by its classical Swan conductors after restricting it to curves. It extends the main result of Barrientos [7] for rank $1$ …