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 $L^{\frac{2}{m}}$--extension theorem of Ohsawa-Takegoshi type (which is also a new result) and a more complete version of our former results.

References in corpus (2)

• Invariance of Plurigenera
• Extension of log pluricanonical forms from subvarieties

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