Numerical trivial foliations, Iitaka Fibrations and the numerical dimension

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Modifying the notion of numerically trivial foliation of a pseudo-effective line bundle L introduced by the author in math.AG/0304312 it can be shown that the leaves of this foliation have codimension bigger or equal to the numerical dimension of L as defined by Boucksom, Demailly, Paun and Peternell, math.AG/0405285. Furthermore, if the Kodaira dimension of L equals its numerical dimension the Kodaira-Iitaka fibration is its numerically trivial foliation. Both statements together yield a sufficient criterion for L not being abundant.
23 pages, 1 figure

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Algebraic Geometry, 32J25

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http://salesiana.dossiersoluciones.com/handle/123456789/76070

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508340
 http://arxiv.org/abs/math/0508340

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arXiv