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On lower ramification subgroups and canonical subgroups

Authors
  • Hattori, Shin
Type
Published Article
Publication Date
Nov 09, 2012
Submission Date
Aug 27, 2012
Identifiers
DOI: 10.2140/ant.2014.8.303
Source
arXiv
License
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External links

Abstract

Let p be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fraction field of the Witt ring of k. Let G be a finite flat commutative group scheme over O_K killed by some p-power. In this paper, we prove a description of ramification subgroups of G via the Breuil-Kisin classification, generalizing the author's previous result on the case where G is killed by p>2. As an application, we also prove that the higher canonical subgroup of a level n truncated Barsotti-Tate group G over O_K coincides with lower ramification subgroups of G if the Hodge height of G is less than (p-1)/p^n.

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