A Bergman kernel proof of the Kawamata subadjunction theorem

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 L2 m--extension theorem of Ohsawa-Takegoshi type (which is also a new result) and a more complete version of our former results.

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