Geometric Bogomolov conjecture for semiabelian varieties
Algebraic Geometry
2025-08-29 v3 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2505.07193,
title = {Geometric Bogomolov conjecture for semiabelian varieties},
author = {Wenbin Luo and Jiawei Yu},
journal= {arXiv preprint arXiv:2505.07193},
year = {2025}
}