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Abstract
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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.
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Dedicated to the memory of Michel
Raynaud
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Keywords
ramification groups, valuation rings
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Mathematical Subject Classification 2010
Primary: 14B25
Secondary: 11S15
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Supplementary material
Errata
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Milestones
Received: 8 January 2018
Revised: 8 May 2018
Accepted: 23 May 2018
Published: 8 August 2018
Correction posted: 17 Jan 2022
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