Numerical trivial foliations, Iitaka Fibrations and the numerical dimension

Simple item page
dc.creatorEckl, Thomas
dc.date2005-08-18
dc.date.accessioned2026-07-07T05:22:28Z
dc.date.available2026-07-07T05:22:28Z
dc.descriptionModifying 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.
dc.description23 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0508340
dc.identifierhttp://arxiv.org/abs/math/0508340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76070
dc.subjectAlgebraic Geometry
dc.subject32J25
dc.titleNumerical trivial foliations, Iitaka Fibrations and the numerical dimension
dc.typetext

Files

Collections

arXiv