Kodaira dimension of subvarieties II
Algebraic Geometry
2007-05-23 v2
Abstract
This paper continues the study of non-general type subvarieties begun in a joint paper with M.Schneider and A.Sommese (Int.L.Math. 10, 1999). We prove uniruledness of a projective manifold containing a submanifold not of general type whose normal bundle has positivity properties and moreover study the rational quotient. We also relate the fundamental groups and prove a cohomological criterion for a manifold to be rationally connected.
Keywords
Cite
@article{arxiv.math/0504266,
title = {Kodaira dimension of subvarieties II},
author = {Thomas Peternell},
journal= {arXiv preprint arXiv:math/0504266},
year = {2007}
}
Comments
11 pages, final version, to appear in International Journal of Math