Higher Fano manifolds and rational surfaces

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For a Fano manifold of pseudo-index at least 3 and $c_1^2-2c_2$ nef, we show irreducibility of certain spaces of curves on the Fano manifold implies the manifold is a union of rational surfaces.
5 pages

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Algebraic Geometry, 14J45; 14C05

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http://salesiana.dossiersoluciones.com/handle/123456789/109145

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602647
 http://arxiv.org/abs/math/0602647

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arXiv