Mordell-Lang plus Bogomolov
Number Theory
2017-04-03 v1 Algebraic Geometry
Abstract
We formulate a conjecture for semiabelian varieties A over number fields that includes both the Mordell-Lang conjecture (now proven) and the Bogomolov conjecture. We prove the "Mordellic" (finitely generated) part of the conjecture when A is isogenous to the product of an abelian variety and a torus. The proof makes use of the Mordell-Lang conjecture, the Bogomolov conjecture, and an equidistribution theorem.
Keywords
Cite
@article{arxiv.math/9808126,
title = {Mordell-Lang plus Bogomolov},
author = {Bjorn Poonen},
journal= {arXiv preprint arXiv:math/9808126},
year = {2017}
}
Comments
6 pages, Latex 2e