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

Abstract

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.

References in corpus (2)

• Structure des connexions méromorphes formelles de plusieurs variables et semi-continuité de l'irrégularité
• Ramification of local fields with imperfect residue fields III

Cited by in corpus (4)

• Ramification of local fields with imperfect residue fields III
• On differential modules associated to de Rham representations in the imperfect residue field case
• Ramification theory and perfectoid spaces
• Analytic Geometry and Hodge-Frobenius Structure