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arXiv · 1002.4145

Bergman kernels and subadjunction

Bo Berndtsson·Mihai Păun
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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 $\displaystyle L^{2\over m}$ 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.

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Bo Berndtsson, Mihai Păun. 2010-02-22. Bergman kernels and subadjunction. https://arxiv.org/abs/1002.4145

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