Tame characters and ramification of finite flat group schemesPreprint Series # 843
AbstractIn 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 $\mathcal{G}$.
