Geodesic
Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties
Do Duc Thai 1   ; Nguyen Huu Kien 2
1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy St., Cau Giay, Hanoi, Vietnam
2 Department of Mathematics Hanoi National University of Education 136 XuanThuy St., Cau Giay, Hanoi, Vietnam
Acta Arithmetica, Tome 170 (2015) no. 3, pp. 231-242 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $V\subset \mathbb {P}^{m}_{\overline {k}},$ 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 $V\subset \mathbb {P}^{m}_{\mathbb C}.$
DOI : 10.4064/aa170-3-2
Keywords: purpose article twofold first dimension set integral points off divisors subgeneral position projective algebraic variety subset mathbb overline where number field consequences results wong noguchi winkelmann levin recovered second complete hyperbolicity complement divisors subgeneral position projective algebraic variety subset mathbb mathbb

Do Duc Thai  1   ; Nguyen Huu Kien  2

1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy St., Cau Giay, Hanoi, Vietnam
2 Department of Mathematics Hanoi National University of Education 136 XuanThuy St., Cau Giay, Hanoi, Vietnam 
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Do Duc Thai; Nguyen Huu Kien. Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties. Acta Arithmetica, Tome 170 (2015) no. 3, pp. 231-242. doi: 10.4064/aa170-3-2

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