Vol. 1, No. 3, 2019

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Ramification groups of coverings and valuations

Takeshi Saito

Vol. 1 (2019), No. 3, 373–426
Abstract

We give a purely scheme theoretic construction of the filtration by ramification groups of the Galois group of a covering. The valuation need not be discrete but the normalizations are required to be locally of complete intersection.

A correction was submitted on 12 Jan 2022 and posted online on 17 Jan 2022.

Dedicated to the memory of Michel Raynaud

Keywords
ramification groups, valuation rings
Mathematical Subject Classification 2010
Primary: 14B25
Secondary: 11S15
Supplementary material

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Received: 8 January 2018
Revised: 8 May 2018
Accepted: 23 May 2018
Published: 8 August 2018
 
Correction posted: 17 Jan 2022
Authors
Takeshi Saito
Department of Mathematical Sciences
University of Tokyo
Japan