Uniform Mordell–Lang Plus Bogomolov

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Abstract

In this paper, we prove a uniform version of Poonen’s “Mordell-Lang Plus Bogomolov” theorem [12], based on Vojta’s method. Our main contribution is to generalize Rèmond’s work on the large points in order to allow an extra ∊-neighborhood in the canonical height topology. The part on small points follows from [8].

Original languageEnglish (US)
Pages (from-to)7360-7378
Number of pages19
JournalInternational Mathematics Research Notices
Volume2024
Issue number9
DOIs
StatePublished - May 1 2024
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics

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