Rational points on quartic hypersurfaces

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Let X be a non-singular projective hypersurface of degree 4, which is defined over the rational numbers. Assume that X has dimension 39 or more, and that X contains a real point and p-adic points for every prime p. Then X is shown to contain infinitely many rational points.
47 pages

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Number Theory, Algebraic Geometry, 11D72 (Primary) 11P55, 14G05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/145505

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701348
 http://arxiv.org/abs/math/0701348

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arXiv