On covering and quasi-unsplit families of rational curves

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We study extremality properties of covering families of rational curves on projective varieties. Among others, we show that on a normal and Q-factorial projective variety of dimension at most 4, every covering and quasi-unsplit family of rational curves generates a geometric extremal ray of the Mori cone.
13 pages

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Algebraic Geometry, 14E30,14J99,14M99

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http://salesiana.dossiersoluciones.com/handle/123456789/74782

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504056
 http://arxiv.org/abs/math/0504056

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arXiv