English

A Bergman kernel proof of the Kawamata subadjunction theorem

Algebraic Geometry 2008-05-12 v2 Complex Variables

Abstract

The main purpose of the following article is to give a proof of Y. Kawamata's celebrated subadjunction theorem in the spirit of our previous work on Bergman kernels. We will use two main ingredients : an L2m\displaystyle L^{2\over m}--extension theorem of Ohsawa-Takegoshi type (which is also a new result) and a more complete version of our former results.

Keywords

Cite

@article{arxiv.0804.3884,
  title  = {A Bergman kernel proof of the Kawamata subadjunction theorem},
  author = {Bo Berndtsson and Mihai Paun},
  journal= {arXiv preprint arXiv:0804.3884},
  year   = {2008}
}
R2 v1 2026-06-21T10:34:12.675Z