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Positivite et discretion des points algebriques des courbes

Emmanuel Ullmo
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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.

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Emmanuel Ullmo. 1996-06-27. Positivite et discretion des points algebriques des courbes. https://arxiv.org/abs/alg-geom/9606017

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