Mordell-Lang plus Bogomolov II: the division group
Number Theory
2017-04-03 v1 Algebraic Geometry
Abstract
In "Mordell-Lang plus Bogomolov", we formulated a conjecture combining the Mordell-Lang conjecture (now proven) and the Bogomolov conjecture, and proved the Mordellic part when A is almost split (i.e., isogenous to the product of an abelian variety and a torus). Here we prove that the full conjecture would follow from the Bogomolov conjecture and an equidistribution result for general semiabelian varieties. These assumptions have been proved when A is almost split, so the conjecture is completely proven in that case.
Keywords
Cite
@article{arxiv.math/9808127,
title = {Mordell-Lang plus Bogomolov II: the division group},
author = {Bjorn Poonen},
journal= {arXiv preprint arXiv:math/9808127},
year = {2017}
}
Comments
8 pages, Latex 2e