Rational connectedness of log $Q$-Fano varieties

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In this paper, we give an affirmative answer to a conjecture in the Minimal Model Program. We prove that log $Q$-Fano varieties of dim $n$ are rationally connected. We also study the behavior of the canonical bundles under projective morphisms.
Minor modifications. To appear in J. reine angew. Math

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/72250

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408301
 http://arxiv.org/abs/math/0408301

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arXiv