English

Positivite et discretion des points algebriques des courbes

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

We prove the discreteness of algebraic points (with respect to the Neron-Tate height) on a curve of genus greater than one embedded in his jacobian. This result was conjectured by Bogomolov. We also prove the positivity of the self intersection of the admissible dualizing sheaf.

Keywords

Cite

@article{arxiv.alg-geom/9606017,
  title  = {Positivite et discretion des points algebriques des courbes},
  author = {Emmanuel Ullmo},
  journal= {arXiv preprint arXiv:alg-geom/9606017},
  year   = {2008}
}