English

On the Zariski-Density of Integral Points on a Complement of Hyperplanes in P^n

Number Theory 2007-05-23 v1

Abstract

We study the S-integral points on the complement of a union of hyperplanes in projective space, where S is a finite set of places of a number field k. In the classical case where S consists of the set of archimedean places of k, we completely characterize, in terms of the hyperplanes and the field k, when the (S-)integral points are not Zariski-dense.

Keywords

Cite

@article{arxiv.math/0601692,
  title  = {On the Zariski-Density of Integral Points on a Complement of Hyperplanes in P^n},
  author = {Aaron Levin},
  journal= {arXiv preprint arXiv:math/0601692},
  year   = {2007}
}

Comments

10 pages