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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4240

Title: Complex Hyperbolic Cone Structures on the Configuration Spaces
Authors: Kojima, Sadayoshi
Keywords: complex hyperbolic geometry
configuration space
cone manifolds
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: Sadayoshi Kojima, "Complex hyperbolic cone structures on theconfiguration spaces", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 149–163.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Abstract: 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.
URI: http://hdl.handle.net/10077/4240
ISSN: 0049-4704
MS Classification: 57M50
14D25
14L30
32M10
53C56
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1

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