TY - JOUR
T1 - Canonical subgroups via Breuil-Kisin modules for p = 2
AU - Hattori, Shin
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number 23740025 .
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/4
Y1 - 2014/4
N2 - Let p be a rational prime and K/Qp be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over OK with 0 < d < h. In this paper, we prove the existence of higher canonical subgroups for G with standard properties if the Hodge height of G is less than 1/(p n -2(p + 1)), including the case of p = 2.
AB - Let p be a rational prime and K/Qp be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over OK with 0 < d < h. In this paper, we prove the existence of higher canonical subgroups for G with standard properties if the Hodge height of G is less than 1/(p n -2(p + 1)), including the case of p = 2.
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U2 - 10.1016/j.jnt.2013.11.004
DO - 10.1016/j.jnt.2013.11.004
M3 - Article
AN - SCOPUS:84892449759
VL - 137
SP - 142
EP - 159
JO - Journal of Number Theory
JF - Journal of Number Theory
SN - 0022-314X
ER -