Décompositions en hauteurs locales

PAZUKI, Fabien

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PAZUKI, Fabien
Université Sciences et Technologies - Bordeaux 1 [UB]
Institut de Mathématiques de Bordeaux [IMB]

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Document de travail - Pré-publication

Resumen en inglés

Let A be an abelian variety defined over a number field k. We provide in this paper different decomposition formulas for the Néron-Tate height of k-rational points on A. We deduce a decomposition of the Faltings height of the variety A itself. We also produce a local decomposition of the self-intersection of the relative dualizing sheaf (\omega_C.\omega_C) when A is the jacobian of a curve C. We formulate in 2.4 a question of Bogomolov type on the space of principally polarized abelian varieties of dimension g.< Leer menos

Palabras clave en inglés

Heights

Abelian varieties

Torsion points

Rational points

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