Géométrie, points entiers et courbes entières

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

Let $X$ be a projective variety over a number field $K$ (resp. over
$\mathbb{C}$). Let $H$ be the sum of ``sufficiently many positive divisors'' on
$X$. We show that any set of quasi-integral points (resp. any integral curve)
in $X-H$ is not Zariski dense.

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