Rational real algebraic models of topological surfaces

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Comessatti proved that the set of real points of a rational real algebraic surface is either a nonorientable surface, or the two-sphere, or the torus. Conversely, it is easy to see that all of these surfaces admit a rational real algebraic model. We prove that they admit exactly one rational real algebraic model. This was known earlier only for the two-sphere, torus, projective plane and the Klein bottle.
21 pages; LaTeX; complete revision of version 1

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Algebraic Geometry, 14P259 (Primary); 14E07 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/134501

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701402
 http://arxiv.org/abs/math/0701402

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arXiv