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Positivite et Discretion des Points Algebriques des Courbes

1998/01/01 by Emmanuel Ullmo · 3 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Commutative Algebra and Its Applications

paper · doi:10.2307/120987

openalex publication_date 1998/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/14

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.

Citations

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