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Deformations of Trianguline B-Pairs and Zariski Density of Two Dimensional Crystalline Representations
http://hdl.handle.net/2261/59049
http://hdl.handle.net/2261/59049bdf7f950-d732-40d3-939e-d99dd59ce79c
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms200401.pdf (685.4 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2015-12-15 | |||||
| タイトル | ||||||
| タイトル | Deformations of Trianguline B-Pairs and Zariski Density of Two Dimensional Crystalline Representations | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | p-adic Hodge theory | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | trianguline representations | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | B-pairs | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| 著者 |
Nakamura, Kentaro
× Nakamura, Kentaro |
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| 著者所属 | ||||||
| 値 | Department of Mathematics, Hokkaido University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The aims of this article are to study the deformation theory of trianguline B-pairs and to construct a p-adic family of two dimensional trianguline representations for any p-adic field. The deformation theory is the generalization of Bellaïche-Chenevier’s and Chenevier’s works in the Qp-case, where they used (ϕ, Γ)-modules over the Robba ring instead of using B-pairs. Generalizing and modifying Kisin’s theory of Xfs for any p-adic field, we construct a p-adic family of two dimensional trianguline representations. As an application of these theories, we prove a theorem concerning the Zariski density of two dimensional crystalline representations for any p-adic field, which is a generalization of Colmez’s and Kisin’s theorem for the Qp-case. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 20, 号 4, p. 461-568, 発行日 2014-02-19 |
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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 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| 値 | MR | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 11F80(MSC2010) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 11F85(MSC2010) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 11S25(MSC2010) | |||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 値 | 2013-06-13 | |||||
