57 citations · 128 across the 26 of their papers we have counts for
Showing 2023 · math.NTShow all
3 papers · 2 filters
math.NT2023
The Geometric Bombieri-Lang Conjecture for Ramified Covers of Abelian Varieties
Junyi Xie, Xinyi Yuan
In this paper, we prove the geometric Bombieri-Lang conjecture for projective varieties which have finite morphisms to abelian varieties of trivial traces over function fields of c…
math.NT2023
Around the dynamical Mordell-Lang conjecture
Junyi Xie
There are three aims of this note. The first one is to report some advances around the dynamical Mordell-Lang (=DML) conjecture. Second, we generalize some known results. For examp…
math.NT2023
Partial Heights, Entire Curves, and the Geometric Bombieri-Lang Conjecture
Junyi Xie, Xinyi Yuan
We introduce a new approach to the geometric Bombieri--Lang conjecture for hyperbolic varieties in characteristic 0. The main idea is to construct an entire curve on a special fibe…