Uniform Mordell-Lang Plus Bogomolov

Abstract

In this paper, we prove a uniform version of Poonen's "Mordell-Lang Plus Bogomolov" theorem for abelian varieties. We mainly generalize Rémond's work on large points to allow an extra $\hat{I}\mu$-neighborhood. The part on small points follows from an earlier paper, joint with Gao and Kühne.

14 pages; revised final version