Rationally Connected Varieties and Loop Spaces
Algebraic Geometry
2007-05-23 v1 Complex Variables
Abstract
We consider rationally connected complex projective manifolds M and show that their loop spaces--infinite dimensional complex manifolds--have properties similar to those of M. Furthermore, we give a finite dimensional application concerning holomorphic vector bundles over rationally connected complex projective manifolds.
Cite
@article{arxiv.math/0507449,
title = {Rationally Connected Varieties and Loop Spaces},
author = {L. Lempert and E. Szabo},
journal= {arXiv preprint arXiv:math/0507449},
year = {2007}
}
Comments
24 pages