2002/06/10 by Pietro Corvaja, Umberto Zannier, Corvaja, Pietro +1
Mathematics · #11G25 #14G05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.AG #math.NT #msc:11G25 #msc:14G05
paper · pdf · doi:10.48550/arxiv.math/0206100
14 pages, Plain TeX
arxiv created 2002/06/10 · openalex publication_date 2002/06/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.