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Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties

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Thai D., Kien N.

Acta Arithmetica

2015

tom 170

nr 3

231-242

The purpose of this article is twofold. The first is to find the dimension of the set of integral points off divisors in subgeneral position in a projective algebraic variety $V ⊂ ℙ^{m}_{k̅}$, where k is a number field. As consequences, the results of Ru-Wong (1991), Ru (1993), Noguchi-Winkelmann (2003) and Levin (2008) are recovered. The second is to show the complete hyperbolicity of the complement of divisors in subgeneral position in a projective algebraic variety $V ⊂ ℙ^{m}_{ℂ}.$

Ograniczanie wyników

1 Acta Arithmetica

1 Kien N.

1 Thai D.

1 2015

Wyniki wyszukiwania

Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties