On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case
Number Theory
2019-02-20 v2
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.
Cite
@article{arxiv.0811.3792,
title = {On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case},
author = {Liang Xiao},
journal= {arXiv preprint arXiv:0811.3792},
year = {2019}
}