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http://www.repositorio.ufop.br/jspui/handle/123456789/8792| Title: | The moduli space of complex geodesics in the complex hyperbolic plane. |
| Authors: | Cunha, Heleno Dutenhefner, Francisco Gusevskii, Nikolay Thebaldi, Rafael Santos |
| Keywords: | Complex hyperbolic space Invariants Gram matrix |
| Issue Date: | 2012 |
| Citation: | CUNHA, H. et al. The moduli space of complex geodesics in the complex hyperbolic plane. The Journal of Geometric Analysis, v. 22, p. 295-319, 2012. Disponível em: <https://link.springer.com/article/10.1007/s12220-010-9189-1>. Acesso em: 28 jul. 2017. |
| Abstract: | We consider the space M of ordered m-tuples of distinct complex geodesics in complex hyperbolic 2-space, H2 C, up to its holomorphic isometry group PU(2, 1). One of the important problems in complex hyperbolic geometry is to construct and describe the moduli space for M. This is motivated by the study of the deformation space of groups generated by reflections in complex geodesics. In the present paper, we give the complete solution to this problem. |
| URI: | http://www.repositorio.ufop.br/handle/123456789/8792 |
| metadata.dc.identifier.uri2: | https://link.springer.com/article/10.1007/s12220-010-9189-1 |
| metadata.dc.identifier.doi: | https://doi.org/10.1007/s12220-010-9189-1 |
| ISSN: | 1559-002X |
| Appears in Collections: | DECEA - Artigos publicados em periódicos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ARTIGO_ModuliSpaceComplex.pdf Restricted Access | 390,4 kB | Adobe PDF | View/Open |
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