Remarques sur une conjecture de Lang

Details Remarques sur une conjecture de Lang Remarques sur une conjecture de Lang

2008-12-15

arxiv.org/abs/0812.2849v2

Mathematics

Number Theory

15 pages, revised version, accepted in JTNB

Scientific paper

The aim of this paper is to study a conjecture predicting a lower bound on
the canonical height on abelian varieties, formulated by S. Lang and
generalized by J. H. Silverman. We give here an asymptotic result on the height
of Heegner points on the modular jacobian $J_{0}(N)$, and we derive non-trivial
remarks about the conjecture.

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