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# Tame characters and ramification of finite flat group schemes

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 Title: Tame characters and ramification of finite flat group schemes Authors: Hattori, Shin Browse this author Issue Date: 2007 Publisher: Department of Mathematics, Hokkaido University Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 843 Start Page: 1 End Page: 18 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 $\mathcal{G}$. Type: bulletin (article) URI: http://hdl.handle.net/2115/69652 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics