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A Class Number Associated with a Product of Two Elliptic Curves
http://hdl.handle.net/10083/2124
http://hdl.handle.net/10083/212425149247-f0d2-458f-a08a-8143f49189e3
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00004829609.pdf (675.4 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-04-30 | |||||
| タイトル | ||||||
| タイトル | A Class Number Associated with a Product of Two Elliptic Curves | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Hayashida, Tsuyoshi
× Hayashida, Tsuyoshi× 林田, 侃 |
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| 著者(ヨミ) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 69691 | |||||
| 姓名 | ハヤシダ, ツヨシ | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | In this paper we shall consider the product. E×E' of two mutually isogenous elliptic curves E, E' whose rings of endomorphisms are the ring Z of rational integers. We ask whether E×E' can be a Jacobian variety of some curve ; and further in how many essentially different ways. In other words we try to obtain a formula for the number H of isomorphism classes of canonically polarized Jacobian varieties (E×E', Y), Y being a theta divisor. The number H proves to be closely connected with the number of ideal classes and the number of ambiguous ideal classes of a certain imaginary quadratic field Q √<-m> [§8]. The method of this paper is basically the same as that of a study [2], in which the rings of endomorphisms of E, E' are the principal order of an imaginary quadratic field. I wish to express here my hearty thanks to my friend M. Nishi for his suggestions and encouragement. | |||||
| 書誌情報 |
お茶の水女子大學自然科學報告 巻 16, 号 1, p. 9-19, 発行日 1965-07 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00298190 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00033958 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 形態 | ||||||
| 675384 bytes | ||||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 400 | |||||
| 出版者 | ||||||
| 出版者 | お茶の水女子大学 | |||||
| 資源タイプ | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 紀要論文 | |||||
| 資源タイプ・ローカル | ||||||
| 紀要論文 | ||||||
| 資源タイプ・NII | ||||||
| Departmental Bulletin Paper | ||||||
| 資源タイプ・DCMI | ||||||
| text | ||||||
| 資源タイプ・ローカル表示コード | ||||||
| 03 | ||||||
| 所属 | ||||||
| Department of Mathematics, Faculty of Science Ochanomizu University | ||||||
