Le probleme de Bogomolov effectif sur les varietes abeliennes

Details Le probleme de Bogomolov effectif sur les varietes abeliennes Le probleme de Bogomolov effectif sur les varietes abeliennes

2008-05-17

arxiv.org/abs/0805.2663v1

Mathematics

Number Theory

55 pages

Scientific paper

We give a new lower bound for the essential minimum of subvarieties of
abelian varieties with small codimension, under a conjecture about ordinary
primes in abelian varieties. This lower bound is already known in the toric
case since the work of Amoroso and David. It is the best expected, "up to an
epsilon", in the degree of the subvariety.

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