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math.AG2015★ 1 cited
Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension with trivial trace
Kazuhiko Yamaki
We prove that the geometric Bogomolov conjecture holds for nowhere degenerate abelian varieties of dimension with trivial trace. By this result together with our previous work,…
math.AG2015★ 2 cited
Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
Kazuhiko Yamaki
The Bogomolov conjecture for a curve claims finiteness of algebraic points on the curve which are small with respect to the canonical height. Ullmo has established this conjecture…