Counting rational points on algebraic varieties

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Let $Z$ be a projective geometrically integral algebraic variety. This paper is concerned with estimating the number of rational points on $Z$ which have height at most $B$. The bounds obtained are uniform in varieties of fixed degree and fixed dimension, and are essentially best possible for varieties of degree at least six.
29 pages

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Number Theory, Algebraic Geometry, 11G35 (14G05)

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http://salesiana.dossiersoluciones.com/handle/123456789/72753

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410117
 http://arxiv.org/abs/math/0410117

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arXiv