Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields
Number Theory
2012-05-18 v4
Abstract
Let p>2 be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fractional field of the Witt ring of k. Let G and H be finite flat commutative group schemes killed by p over O_K and k[[u]], respectively. In this paper, we show the upper and the lower ramification subgroups of G and H in the sense of Abbes-Saito are naturally isomorphic to each other when they are associated to the same Kisin module.
Keywords
Cite
@article{arxiv.1007.3094,
title = {Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields},
author = {Shin Hattori},
journal= {arXiv preprint arXiv:1007.3094},
year = {2012}
}
Comments
22 pages; refereed version; Lemma 4.2 corrected; proof of Proposition 4.4 simplified; Remark 4.7 added; other minor revisions