On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case

Details On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case

2008-11-24

arxiv.org/abs/0811.3792v2

Mathematics

Number Theory

Scientific paper

Let K be a complete discretely valued field of mixed characteristic (0, p) with possibly imperfect residue field. We prove a Hasse-Arf theorem for the arithmetic ramification filtrations on G_K, except possibly in the absolutely unramified and non-logarithmic case, or p=2 and logarithmic case. As an application, we obtain a Hasse-Arf theorem for filtrations on finite flat group schemes over O_K.

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