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Zariski Density of Crystalline Representations for Any p-Adic Field
http://hdl.handle.net/2261/59053
http://hdl.handle.net/2261/5905339b1041e-06d2-4c2b-abe9-e36cc5c2949f
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms210103.pdf (352.5 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 | Zariski Density of Crystalline Representations for Any p-Adic Field | |||||
| 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 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Nakamura, Kentaro
× Nakamura, Kentaro |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, Hokkaido University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The aim of this article is to prove Zariski density of crystalline representations in the rigid analytic space associated to the universal deformation ring of a d-dimensional mod p representation of Gal(K̅/K) for any d and any p-adic field K. This is a generalization of the results of Colmezand Kisin for d = 2 and K = Qp, of the author for d = 2 and any K, and of Chenevier for any d and K = Qp. A key ingredient for the proof is to construct a p-adic family of trianguline representations which can be seen as a local analogue of eigenvarieties. In this article, we construct such a family by generalizing Kisin’s theory of finite slope subspace Xfs for any d and any K, and using Bellaïche- Chenevier’s idea of using exterior products in the study of trianguline deformations. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 21, 号 1, p. 79-127, 発行日 2014-06-30 |
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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 | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 11F80(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 11F85(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2012-11-26 | ||||||
