TY - JOUR
T1 - Tame characters and ramification of finite flat group schemes
AU - Hattori, Shin
PY - 2008/5
Y1 - 2008/5
N2 - In this paper, for a complete discrete valuation field K of mixed characteristic (0, p) and a finite flat group scheme G of p-power order over OK, we determine the tame characters appearing in the Galois representation G (over(K, ̄)) in terms of the ramification theory of Abbes and Saito, without any restriction on the absolute ramification index of K or the embedding dimension of G.
AB - In this paper, for a complete discrete valuation field K of mixed characteristic (0, p) and a finite flat group scheme G of p-power order over OK, we determine the tame characters appearing in the Galois representation G (over(K, ̄)) in terms of the ramification theory of Abbes and Saito, without any restriction on the absolute ramification index of K or the embedding dimension of G.
UR - http://www.scopus.com/inward/record.url?scp=41149085469&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=41149085469&partnerID=8YFLogxK
U2 - 10.1016/j.jnt.2007.05.006
DO - 10.1016/j.jnt.2007.05.006
M3 - Article
AN - SCOPUS:41149085469
SN - 0022-314X
VL - 128
SP - 1091
EP - 1108
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 5
ER -