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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 |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 | p-adic Hodge theory | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | trianguline representations | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | B-pairs | |||||
主題Scheme | Other | |||||
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 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 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
11F80(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
11F85(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
11S25(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2013-06-13 |