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Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic (1609.01950v1)
Published 7 Sep 2016 in math.NT and math.AG
Abstract: We prove the equality of two non-logarithmic ramification filtrations defined by Matsuda and Abbes-Saito for the abelianized absolute Galois group of a complete discrete valuation field in positive characteristic. We also compute the refined Swan conductor and the characteristic form of a character of the fundamental group of a smooth separated scheme over a perfect field of positive characteristic by using sheaves of Witt vectors.