On Fano manifolds with a birational contraction sending a divisor to a curve

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Let X be a smooth Fano variety of dimension at least 4. We show that if X has an elementary birational contraction sending a divisor to a curve, then the Picard number of X is smaller or equal to 5.
24 pages, 6 figures

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Algebraic Geometry, 14J45; 14E30

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http://salesiana.dossiersoluciones.com/handle/123456789/164941

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.2323
 http://arxiv.org/abs/0807.2323

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arXiv