TY - JOUR
T1 - Ramification of a finite flat group scheme over a local field
AU - Hattori, Shin
PY - 2006/6
Y1 - 2006/6
N2 - In this paper, we analyze ramification in the sense of Abbes-Saito of a finite flat group scheme over the ring of integers of a complete discrete valuation field of mixed characteristic ( 0, p ). We deduce that its Galois representation depends only on its reduction modulo explicitly computed p-power. We also give a new proof of a theorem of Fontaine on ramification of a finite flat Galois representation, and extend it to the case where the residue field may be imperfect.
AB - In this paper, we analyze ramification in the sense of Abbes-Saito of a finite flat group scheme over the ring of integers of a complete discrete valuation field of mixed characteristic ( 0, p ). We deduce that its Galois representation depends only on its reduction modulo explicitly computed p-power. We also give a new proof of a theorem of Fontaine on ramification of a finite flat Galois representation, and extend it to the case where the residue field may be imperfect.
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U2 - 10.1016/j.jnt.2005.08.006
DO - 10.1016/j.jnt.2005.08.006
M3 - Article
AN - SCOPUS:33646078912
SN - 0022-314X
VL - 118
SP - 145
EP - 154
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 2
ER -