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Complex Hyperbolic Cone Structures on the Configuration Spaces
Kojima, Sadayoshi
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
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.
Languages
en
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