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arXiv · 0804.3884

A Bergman kernel proof of the Kawamata subadjunction theorem

Bo Berndtsson·Mihai Paun
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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 $\displaystyle L^{2\over m}$--extension theorem of Ohsawa-Takegoshi type (which is also a new result) and a more complete version of our former results.

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Bo Berndtsson, Mihai Paun. 2008-05-12. A Bergman kernel proof of the Kawamata subadjunction theorem. https://arxiv.org/abs/0804.3884

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