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On the Pro-p Absolute Anabelian Geometry of Proper Hyperbolic Curves
http://hdl.handle.net/2261/00076836
http://hdl.handle.net/2261/00076836e16e6cc3-31c4-4c79-aff7-91462c1f326c
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms250101.pdf (213.0 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2019-03-29 | |||||
| タイトル | ||||||
| タイトル | On the Pro-p Absolute Anabelian Geometry of Proper Hyperbolic Curves | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | hyperbolic curve | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | p-adic local field | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | ordinary | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | good reduction | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Hoshi, Yuichiro
× Hoshi, Yuichiro |
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| 著者所属 | ||||||
| 著者所属 | Research Institute for Mathematical Sciences, Kyoto University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In the present paper, we study the geometry of the stable models of proper hyperbolic curves over p-adic local fields via the study of the geometrically pro-p ètale fundamental groups of the curves. In particular, we establish functorial “group-theoretic“ algorithms for reconstructing various objects related to the geometry of stable models from the geometrically pro-p ètale fundamental groups. As an application, we also give a pro-p “group-theoretic“ criterion for good reduction of ordinary proper hyperbolic curves over p-adic local fields. | |||||
| 書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 25, 号 1, p. 1-34, 発行日 2018-03-28 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| Mathmatical Subject Classification | ||||||
| 14H30(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2016-10-20 | ||||||
