Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic
type: Item
instance of: scholarly article
title: Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic
zbMATH Open document ID: 1418.11149
author: Yuri Yatagawa
published in: Documenta Mathematica
publication date: 2017-11-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1609.01950
review text: Summary: 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.
Mathematics Subject Classification ID: 11S15
Mathematics Subject Classification ID: 14G22
zbMATH DE Number: 6810399
zbMATH Keywords: local field
zbMATH Keywords: ramification filtration
zbMATH Keywords: characteristic form
zbMATH Keywords: Witt vector
MaRDI profile type: Publication
arXiv ID: 1609.01950
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DOI: 10.25537/DM.2017V22.917-952
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description: scientific article