Positivite et discretion des points algebriques des courbes
classification
alg-geom
math.AG
keywords
pointsproveadmissiblealgebraicalgebriquesbogomolovconjecturedcourbes
read the original 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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