EQUALITY OF TWO NON-LOGARITHMIC RAMIFICATION FILTRATIONS OF ABELIANIZED GALOIS GROUP IN POSITIVE CHARACTERISTIC

Yatagawa, Yuri (2017) EQUALITY OF TWO NON-LOGARITHMIC RAMIFICATION FILTRATIONS OF ABELIANIZED GALOIS GROUP IN POSITIVE CHARACTERISTIC. DOCUMENTA MATHEMATICA, 22. pp. 917-952. ISSN 1431-0643,

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Abstract

We prove the equality of two non-logarithmic ramification filtrations defined by Matsuda and Abbes-Saito of the abelianized absolute Galois group of a complete discrete valuation field in positive characteristic. We 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.

Item Type: Article
Uncontrolled Keywords: ; local field; ramification filtration; characteristic form; Witt vector
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:01
Last Modified: 28 Feb 2019 09:53
URI: https://pred.uni-regensburg.de/id/eprint/632

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