Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension $5$ with trivial trace

Abstract

We prove that the geometric Bogomolov conjecture holds for nowhere degenerate abelian varieties of dimension $5$ with trivial trace. By this result together with our previous work, we see that the conjecture holds for an abelian variety such that the difference between the dimension of its maximal nowhere degenerate abelian subvariety and that of its trace equals $5$.

6 pages. Typos corrected. The references updated

References in corpus (1)

• The Bogomolov conjecture for totally degenerate abelian varieties

Cited by in corpus (1)

• Survey on the geometric Bogomolov conjecture