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arXiv · 2505.07193

Geometric Bogomolov conjecture for semiabelian varieties

Wenbin Luo·Jiawei Yu
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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.

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Wenbin Luo, Jiawei Yu. 2025-05-12. Geometric Bogomolov conjecture for semiabelian varieties. https://arxiv.org/abs/2505.07193

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