Unirationality of cubic hypersurfaces

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Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
11 pages, LaTeX

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Algebraic Geometry, 14G05 14G15 (Primary) 11G25 11D25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59196

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005146
 http://arxiv.org/abs/math/0005146

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arXiv