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arXiv · 2202.02497

Uniform Mordell-Lang Plus Bogomolov

Tangli Ge
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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 $\epsilon$-neighborhood. The part on small points follows from an earlier paper, joint with Gao and K\"uhne.

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Tangli Ge. 2022-02-05. Uniform Mordell-Lang Plus Bogomolov. https://doi.org/10.1093/imrn%2Frnad167

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