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

• Autorzy: Do Duc Thai , Nguyen Huu Kien
• Języki publikacji: EN

Abstrakty

EN

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 $V ⊂ ℙ^{m}_{ℂ}.$

Kategorie tematyczne

• 11J97: Analogues of methods in Nevanlinna theory (work of Vojta et al.)
• 32H30: Value distribution theory in higher dimensions
• 11D57: Multiplicative and norm form equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 170
• Numer: 3
• Strony: 231-242

Daty

wydano

2015

Twórcy

autor

Do Duc Thai

• Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy St., Cau Giay, Hanoi, Vietnam

autor

Nguyen Huu Kien

• Department of Mathematics, Hanoi National University of Education, 136 XuanThuy St., Cau Giay, Hanoi, Vietnam

Identyfikatory

DOI

10.4064/aa170-3-2