1996/10/22 by Wei-Dong Ruan, Ruan, Wei-Dong
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #alg-geom #dg-ga #math.AG #math.DG
paper · pdf · doi:10.48550/arxiv.dg-ga/9610011
44 pages, LaTex
openalex publication_date 1996/10/22 · arxiv created 1996/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we will discuss local coordinates canonically corresponding to a Kahler metric. We will also discuss and prove the C^∞ convergence of Bergman metrics following Tian's result on C2 convergence of Bergman metrics. At the end, we present an interesting characterization of ample line bundle that could be useful in arithmetic geometry.