Ohsawa-Takegoshi extension theorem for compact Kähler manifolds and applications

Abstract

Our main goal in this article is to prove a new extension theorem for sections of the canonical bundle of a weakly pseudoconvex Kähler manifold with values in a line bundle endowed with a possibly singular metric. We also give some applications of our result.

arXiv comment16 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