Thomas Peternell
Published 2005-04-13, updated 2005-12-14Version 2
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.
Comments: 11 pages, final version, to appear in International Journal of Math
Homomorphisms between fundamental groups of Kähler manifolds
Kodaira dimension and zeros of holomorphic one-forms
On the fundamental groups of non-generic $\mathbb{R}$-join-type curves
![QR code for arXiv:math/0504266 [math.AG]](http://oss.arxitics.com/images/favicon.svg)