Complex hyperbolic cone structures on the configuration spaces

Sadayoshi Kojima

Complex hyperbolic cone structures on the configuration spaces

Sadayoshi Kojima^*

^*この研究の対応する著者

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne Mostow and by Thurston. We review that these families are the same, and then exhibit the families for n = 4, 5 in constrast with the deformation theory of real hyperbolic cone 3-manifolds.

本文言語	English
ページ（範囲）	149-163
ページ数	15
ジャーナル	Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
巻	32
出版ステータス	Published - 2001 1月 1
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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引用スタイル

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N2 - The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne Mostow and by Thurston. We review that these families are the same, and then exhibit the families for n = 4, 5 in constrast with the deformation theory of real hyperbolic cone 3-manifolds.

AB - The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne Mostow and by Thurston. We review that these families are the same, and then exhibit the families for n = 4, 5 in constrast with the deformation theory of real hyperbolic cone 3-manifolds.

KW - Complex hyperbolic geometry

KW - Cone manifolds

KW - Configuration space

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JF - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

ER -

Complex hyperbolic cone structures on the configuration spaces

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