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 (1)

• Extension of log pluricanonical forms from subvarieties

Cited by in corpus (1)

• Remarks on the extension of twisted Hodge metrics