On integral points on surfaces

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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.
14 pages, Plain TeX

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Number Theory, Algebraic Geometry, 11G25; 14G05

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http://salesiana.dossiersoluciones.com/handle/123456789/64269

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206100
 http://arxiv.org/abs/math/0206100

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arXiv