5 papers
Uniform Mordell--Lang conjecture for semiabelian varieties
Zhaobo Han, Wenbin Luo, Jiawei Yu
We prove the uniform Mordell--Lang conjecture for semiabelian varieties, that is, for a subvariety of a semiabelian variety, its intersection with a finite-rank subgroup of rat…
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…
Arakelov geometry on flag varieties over function fields and related topics
Yangyu Fan, Wenbin Luo, Binggang Qu
Let be an algebraically closed field of characteristic zero. Let be a connected reductive group over , be a parabolic subgroup and $λ: P \longrightarrow…
Arithmetic degrees of dynamical systems over fields of characteristic zero
Wenbin Luo, Jiarui Song
In this article, we generalize the arithmetic degree and its related theory to dynamical systems defined over an arbitrary field of characteristic . We first consid…
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…