Ohsawa-Takegoshi extension theorem for compact K\"ahler manifolds and applications
Algebraic Geometry
2017-10-04 v2
Abstract
Our main goal in this article is to prove a new extension theorem for sections of the canonical bundle of a weakly pseudoconvex K\"ahler manifold with values in a line bundle endowed with a possibly singular metric. We also give some applications of our result.
Keywords
Cite
@article{arxiv.1404.6937,
title = {Ohsawa-Takegoshi extension theorem for compact K\"ahler manifolds and applications},
author = {Junyan Cao},
journal= {arXiv preprint arXiv:1404.6937},
year = {2017}
}
Comments
16 pages. There was a serious error in the first version. It is now fixed by using Guan-Zhou's result on the strong openness conjecture