Bergman kernels and subadjunction

2010/02/22 by Bo Berndtsson, Mihai Păun, Berndtsson, Bo +1 · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1002.4145

openalex publication_date 2010/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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.

Citations

• Semipositivity theorem for reducible algebraic fiber spaces
• On the extension ofL 2 holomorphic functions

Cited by

• Linear invariants of complex manifolds and their plurisubharmonic variations
• On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties

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