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 , 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
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-3-2,
author = {Do Duc Thai and Nguyen Huu Kien},
title = {Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {231-242},
zbl = {06477193},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-3-2}
}
Do Duc Thai; Nguyen Huu Kien. Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties. Acta Arithmetica, Tome 168 (2015) pp. 231-242. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-3-2/