Mordell-Lang plus Bogomolov

Details Mordell-Lang plus Bogomolov Mordell-Lang plus Bogomolov

1998-08-30

arxiv.org/abs/math/9808126v1

Mathematics

Number Theory

6 pages, Latex 2e

Scientific paper

10.1007/s002220050331

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.

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