Dept. Math, Hokkaido Univ. EPrints Server

Tame characters and ramification of finite flat group schemes

Preprint Series # 843
Hattori, Shin Tame characters and ramification of finite flat group schemes. (2007);

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Abstract

In this paper, for a complete discrete valuation field $K$ of mixed characteristic $(0, p)$ and a finite flat group scheme $\mathcal{G}$ of $p$-power order over $\mathcal{O}_K$, we determine the tame characters appearing in the Galois representation $\mathcal{G}(\bar{K})$ 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 $\mathcal{G}$.

Item Type:Preprint
Additional Information:20
Uncontrolled Keywords:finite flat group scheme, Galois representation, ramification
Subjects:11-xx NUMBER THEORY
ID Code:1695