Bergman kernels and subadjunction
Algebraic Geometry
2014-09-21 v1
Abstract
In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an extension theorem of Ohsawa-Takegoshi type, which is derived from the original result by a simple fixed point method. Moreover, we show that these techniques combined with an appropriate form of the"invariance of plurigenera" can be used in order to obtain a new proof of the celebrated Y. Kawamata subadjunction theorem.
Cite
@article{arxiv.1002.4145,
title = {Bergman kernels and subadjunction},
author = {Bo Berndtsson and Mihai Păun},
journal= {arXiv preprint arXiv:1002.4145},
year = {2014}
}