On integral points on surfaces
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We study integral points on affine surfaces by means of a new method, relying on the Subspace Theorem. Under suitable assumptions on the divisor at infinity, we prove that the integral points are contained in a curve. As a corollary, we prove that there are only finitely many quadratic integral points on an affine curve with five points at infinity.
Cite
@article{arxiv.math/0206100,
title = {On integral points on surfaces},
author = {Pietro Corvaja and Umberto Zannier},
journal= {arXiv preprint arXiv:math/0206100},
year = {2007}
}
Comments
14 pages, Plain TeX