2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64269We 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.14 pages, Plain TeXNumber TheoryAlgebraic Geometry11G25; 14G05text