Numerical trivial foliations, Iitaka Fibrations and the numerical dimension
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0508340,
title = {Numerical trivial foliations, Iitaka Fibrations and the numerical dimension},
author = {Thomas Eckl},
journal= {arXiv preprint arXiv:math/0508340},
year = {2007}
}
Comments
23 pages, 1 figure