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Hokkaido University Preprint Series in Mathematics >
Tame characters and ramification of finite flat group schemes
| 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
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Submitter: 数学紀要登録作業用
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