Positivite et discretion des points algebriques des courbes

Details Positivite et discretion des points algebriques des courbes Positivite et discretion des points algebriques des courbes

1996-06-27

arxiv.org/abs/alg-geom/9606017v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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