A Bergman kernel proof of the Kawamata subadjunction theorem

Details A Bergman kernel proof of the Kawamata subadjunction theorem A Bergman kernel proof of the Kawamata subadjunction theorem

2008-04-24

arxiv.org/abs/0804.3884v2

Mathematics

Algebraic Geometry

Scientific paper

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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