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On ramification filtrations and p-adic differential equations, II: mixed characteristic case
Published online by Cambridge University Press: 30 November 2011
Abstract
Let K be a complete discrete valuation field of mixed characteristic (0,p), with possibly imperfect residue field. We prove a Hasse–Arf theorem for the arithmetic ramification filtrations on GK, except possibly in the absolutely unramified and non-logarithmic case, or the p=2 and logarithmic case. As an application, we obtain a Hasse–Arf theorem for filtrations on finite flat group schemes over 𝒪K.
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- Research Article
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- Copyright © Foundation Compositio Mathematica 2011
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