Rational surfaces in index-one Fano hypersurfaces

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We give the first evidence for a conjecture that a general, index-one, Fano hypersurface is not unirational: (i) a general point of the hypersurface is contained in no rational surface ruled, roughly, by low-degree rational curves, and (ii) a general point is contained in no image of a Del Pezzo surface.
13 pages, 6 diagrams

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Algebraic Geometry, 14C05; 14E08

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http://salesiana.dossiersoluciones.com/handle/123456789/107747

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601710
 http://arxiv.org/abs/math/0601710

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arXiv