Mordell-Lang plus Bogomolov II: the division group

Details Mordell-Lang plus Bogomolov II: the division group Mordell-Lang plus Bogomolov II: the division group

1998-08-30

arxiv.org/abs/math/9808127v1

Mathematics

Number Theory

8 pages, Latex 2e

Scientific paper

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.

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