Degenerations of rationally connected varieties and PAC fields

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A perfect PAC field containing an algebraically closed field is known to be $C_1$, i.e., every degeneration of a Fano complete intersection has a point. We prove that also every degeneration of a separably rationally connected variety has a point.
5 pages

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Algebraic Geometry, 14G05; 14G27

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http://salesiana.dossiersoluciones.com/handle/123456789/109147

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602649
 http://arxiv.org/abs/math/0602649

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arXiv