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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
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…