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

Do Duc Thai, and Nguyen Huu Kien. "Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties." Acta Arithmetica 170.3 (2015): 231-242. <http://eudml.org/doc/279472>.

@article{DoDucThai2015,
abstract = {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 $V ⊂ ℙ^\{m\}_\{ℂ\}.$},
author = {Do Duc Thai, Nguyen Huu Kien},
journal = {Acta Arithmetica},
keywords = {; ; divisors in $N$-subgeneral position},
language = {eng},
number = {3},
pages = {231-242},
title = {Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties},
url = {http://eudml.org/doc/279472},
volume = {170},
year = {2015},
}

TY - JOUR
AU - Do Duc Thai
AU - Nguyen Huu Kien
TI - Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties
JO - Acta Arithmetica
PY - 2015
VL - 170
IS - 3
SP - 231
EP - 242
AB - 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 $V ⊂ ℙ^{m}_{ℂ}.$
LA - eng
KW - ; ; divisors in $N$-subgeneral position
UR - http://eudml.org/doc/279472
ER -