Restricted Bergman kernel asymptotics

2012/01/20 by Tomoyuki Hisamoto, Hisamoto, Tomoyuki · 1 citation
Mathematics · #14C20 #32A25 #32J25 #32W20 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1201.4233

openalex publication_date 2012/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate a restricted version of Bergman kernels for high powers of a big line bundle over a smooth projective variety. The geometric meaning of the leading term is specified. As a byproduct, we derive some integral representations for the restricted volume.

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• Definitions of the volume of a big cohomology class

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