Geometric Bogomolov conjecture for semiabelian varieties
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918131695353856 |
|---|---|
| author | Luo, Wenbin Yu, Jiawei |
| author_facet | Luo, Wenbin Yu, Jiawei |
| contents | We establish the geometric Bogomolov conjecture for semiabelian varieties over function fields. We show a closed subvariety contains Zariski dense sets of small points, if and only if, after modulo its stabilizer, it is a torsion translate of a constant variety. A new phenomenon is that a special subvariety may not have a Zariski dense set of points of height 0. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07193 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Bogomolov conjecture for semiabelian varieties Luo, Wenbin Yu, Jiawei Algebraic Geometry Number Theory We establish the geometric Bogomolov conjecture for semiabelian varieties over function fields. We show a closed subvariety contains Zariski dense sets of small points, if and only if, after modulo its stabilizer, it is a torsion translate of a constant variety. A new phenomenon is that a special subvariety may not have a Zariski dense set of points of height 0. |
| title | Geometric Bogomolov conjecture for semiabelian varieties |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2505.07193 |