1999/07/23 by Sadayoshi Kojima, Kojima, Sadayoshi · 1 citation
Mathematics · #14D25 #14D30 #32M10 #53C56 (Secondary) #57M50 (Primary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.AG #math.GT #msc:14D25 #msc:14D30 #msc:32M10 #msc:53C56 #msc:57M50
paper · pdf · doi:10.48550/arxiv.math/9907147
11 pages
arxiv created 1999/07/23 · openalex publication_date 1999/07/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space in this paper. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne-Mostow and Thurston. We first confirm that these families are the same. Then in view of the deformation theory for real hyperbolic cone 3-manifolds, we review the families for small n.