WEKO3
アイテム
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)
|
|
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 | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Miyasaka, Yuken
× Miyasaka, Yuken× Shinjo, Hirokazu |
|||||
著者所属 | ||||||
値 | 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 |
|||||
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 | 11G10(MSC2010) | |||||
Mathmatical Subject Classification | ||||||
値 | 14K22(MSC2010) | |||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
値 | 2014-02-28 |