The openness conjecture for projective manifolds
Complex Variables
2013-05-14 v3 Algebraic Geometry
Abstract
We give a proof of the openness conjecture of Demailly and Koll\'ar for positively curved singular metrics on ample line bundles over projective varieties. As a corollary it follows that the openness conjecture for plurisubharmonic functions with isolated sigularities holds.
Cite
@article{arxiv.1305.0544,
title = {The openness conjecture for projective manifolds},
author = {Bo Berndtsson},
journal= {arXiv preprint arXiv:1305.0544},
year = {2013}
}
Comments
6 pages. The argument has been simplified and the result has been generalized