Jacobians with with automorphisms of prime order
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2021
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908663600381952 |
|---|---|
| author | Zarhin, Yuri G. |
| author_facet | Zarhin, Yuri G. |
| contents | In this paper we study principally polarized abelian varieties that admit an automorphism of prime order $p>2$. It turns out that certain natural conditions on the multiplicities of its action on the differentials of the first kind do guarantee that those polarized varieties are not jacobians of curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_06794 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Jacobians with with automorphisms of prime order Zarhin, Yuri G. Algebraic Geometry Complex Variables Number Theory 14J45, 14K30 In this paper we study principally polarized abelian varieties that admit an automorphism of prime order $p>2$. It turns out that certain natural conditions on the multiplicities of its action on the differentials of the first kind do guarantee that those polarized varieties are not jacobians of curves. |
| title | Jacobians with with automorphisms of prime order |
| topic | Algebraic Geometry Complex Variables Number Theory 14J45, 14K30 |
| url | https://arxiv.org/abs/2109.06794 |