English

Uniform Mordell-Lang Plus Bogomolov

Number Theory 2024-11-26 v2 Algebraic Geometry

Abstract

In this paper, we prove a uniform version of Poonen's "Mordell-Lang Plus Bogomolov" theorem for abelian varieties. We mainly generalize R\'emond's work on large points to allow an extra ϵ\epsilon-neighborhood. The part on small points follows from an earlier paper, joint with Gao and K\"uhne.

Keywords

Cite

@article{arxiv.2202.02497,
  title  = {Uniform Mordell-Lang Plus Bogomolov},
  author = {Tangli Ge},
  journal= {arXiv preprint arXiv:2202.02497},
  year   = {2024}
}

Comments

14 pages; revised final version

R2 v1 2026-06-24T09:21:27.378Z