Complex hyperbolic cone structures on the configuration spaces

Sadayoshi Kojima

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arXiv · math/9907147

Complex hyperbolic cone structures on the configuration spaces

Sadayoshi Kojima

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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.

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Sadayoshi Kojima. 1999-07-23. Complex hyperbolic cone structures on the configuration spaces. https://arxiv.org/abs/math/9907147

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