Deformation of K\"ahler manifolds
Algebraic Geometry
2013-05-07 v2
Abstract
It has been shown by Claire Voisin in 2003 that one cannot always deform a compact K\"ahler manifold into a projective algebraic manifold, thereby answering negatively a question raised by Kodaira. In this article, we prove that under an additional semipositivity or seminegativity condition on the canonical bundle, the answer becomes positive, namely such a compact K\"ahler manifold can be approximated by deformations of projective manifolds.
Keywords
Cite
@article{arxiv.1211.2058,
title = {Deformation of K\"ahler manifolds},
author = {Junyan Cao},
journal= {arXiv preprint arXiv:1211.2058},
year = {2013}
}