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Résumé :
Soit une variété projective sur un corps de nombres (resp. sur ). Soit la somme de suffisamment de diviseurs positifs sur . On montre que tout ensemble de points quasi-entiers (resp. toute courbe entière) dans X-H est non Zariski-dense.

Mots-clefs : Géométrie arithmétique, hauteur, points entiers, approximation diophantienne, hyperbolicité

Abstract:
Geometry, integral points and integral curves
Let be a projective variety over a number field (resp. over ). Let be the sum of ``sufficiently many positive divisors'' on . We show that any set of quasi-integral points (resp. any integral curve) in X-H is not Zariski dense.

Keywords: Arithmetic geometry, height, integral points, diophantine approximation, hyperbolicity

Class. math. : 14G25, 11J97, 11G35

ISSN : 0012-9593
Publié avec le concours de : Centre National de la Recherche Scientifique

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