Complex hyperbolic cone structures on the configuration spaces
Geometric Topology
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/9907147,
title = {Complex hyperbolic cone structures on the configuration spaces},
author = {Sadayoshi Kojima},
journal= {arXiv preprint arXiv:math/9907147},
year = {2007}
}
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11 pages