| ID | 62792 |
| FullText URL | |
| Author |
Hoshi, Yuichiro
Research Institute for Mathematical Sciences, Kyoto University
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| Abstract | 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.
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| Keywords | abelian variety
torsion point
curve
p-rank
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| Note | Mathematics Subject Classification. Primary 14K12; Secondary 14H30.
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| Published Date | 2022-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume64
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 1
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| End Page | 11
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol64/iss1/1
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