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On ramification filtrations and <i>p</i>-adic differential equations, II: mixed characteristic case

On ramification filtrations and <i>p</i>-adic differential equations, II: mixed characteristic case

Abstract Let K be a complete discrete valuation field of mixed characteristic (0, p ), with possibly imperfect residue field. We prove a Hasseā€“Arf theorem for the arithmetic ramification filtrations on G K , except possibly in the absolutely unramified and non-logarithmic case, or the p =2 and logarithmic case. ā€¦