# Tame characters and ramification of finite flat group schemes

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

 TeX DVI86Kb

## 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 20 finite flat group scheme, Galois representation, ramification 11-xx NUMBER THEORY 1695