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arXiv · 1609.01950

Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic

Yuri Yatagawa
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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.

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Yuri Yatagawa. 2016-09-07. Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic. https://arxiv.org/abs/1609.01950

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