| ID | 62792 |
| フルテキストURL | |
| 著者 |
Hoshi, Yuichiro
Research Institute for Mathematical Sciences, Kyoto University
|
| 抄録 | In the present paper, we consider torsion points on ample divisors on abelian varieties. We prove that, for each integer n ≤ 2, an effective divisor of level n on an abelian variety does not contain the subgroup of n-torsion points. Moreover, we also discuss an application of this result to the study of the p-rank of cyclic coverings of curves in positive characteristic.
|
| キーワード | abelian variety
torsion point
curve
p-rank
|
| 備考 | Mathematics Subject Classification. Primary 14K12; Secondary 14H30.
|
| 発行日 | 2022-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 64巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 1
|
| 終了ページ | 11
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
|
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
|
| 論文のバージョン | publisher
|
| 査読 |
有り
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| Submission Path | mjou/vol64/iss1/1
|
