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Honda Theory for Formal Groups of Abelian Varieties over Q of GL2-Type
http://hdl.handle.net/2261/59059
http://hdl.handle.net/2261/590596e1a35b4-3cc3-4c60-9e1e-794d6dc47993
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms210205.pdf (164.9 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 | Honda Theory for Formal Groups of Abelian Varieties over Q of GL2-Type | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Formal group | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | abelian variety of GL2-type | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | complex multiplication | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Lseries | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Miyasaka, Yuken
× Miyasaka, Yuken× Shinjo, Hirokazu |
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| 著者所属 | ||||||
| 著者所属 | Mathematical Institute, Tohoku University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Honda proved that two formal groups attached to an elliptic curve E over Q are strongly isomorphic over Z, where one of them is obtained from the formal completion along the zero section of the N´eron model over Z and another is obtained from the L-series attached to the l-adic Galois representations on E. In this paper, we generalize his theorem to abelian varieties over Q of GL2-type. As an application, we give a method to calculate the coefficients of the L-series attached to an algebraic curve over Q with a Jacobian variety of GL2-type. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 21, 号 2, p. 355-372, 発行日 2014-12-11 |
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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 | ||||||
| 11G10(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 14K22(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2014-02-28 | ||||||
