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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1 >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4240
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| 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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