80 citations · 162 across the 21 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AG2021★ 5 cited
Geometric Bogomolov conjecture in arbitrary characteristics
Junyi Xie, Xinyi Yuan
The goal of this paper is to prove the full geometric Bogomolov conjecture. We first reduce it to the case that the extension of the base fields has transcendence degree 1, and the…
math.NT2021★ 2 cited
Arithmetic bigness and a uniform Bogomolov-type result
Xinyi Yuan
In this paper, we prove that the admissible canonical bundle of the universal family of curves is a big adelic line bundle, and apply it to prove a uniform Bogomolov-type theorem f…
math.NT2021★ 9 cited
Adelic line bundles on quasi-projective varieties
Xinyi Yuan, Shou-Wu Zhang
In this book, we establish a theory of adelic line bundles over quasi-projective varieties over finitely generated fields. Besides definitions of adelic line bundles, we consider t…