On integral points on surfaces

Details On integral points on surfaces On integral points on surfaces

2002-06-10

arxiv.org/abs/math/0206100v1

Mathematics

Number Theory

14 pages, Plain TeX

Scientific paper

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.

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