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math.AG2025
Geometric Bogomolov conjecture for semiabelian varieties
Wenbin Luo, Jiawei Yu
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…
math.AG2023
Continuous Extension and Birational Invariance of χ-Volume Over an Adelic Curve
Wenbin Luo
By giving an estimate on the minimal slopes, we prove a Hilbert-Samuel formula for semiample and semipositive adelic line bundles. We also show the birational invariance of the ari…