The moduli space of complex geodesics in the complex hyperbolic plane.

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Título:	The moduli space of complex geodesics in the complex hyperbolic plane.
Autor(es):	Cunha, Heleno Dutenhefner, Francisco Gusevskii, Nikolay Thebaldi, Rafael Santos
Palavras-chave:	Complex hyperbolic space Invariants Gram matrix
Data do documento:	2012
Referência:	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.
Resumo:	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
Link para o artigo:	https://link.springer.com/article/10.1007/s12220-010-9189-1
DOI:	https://doi.org/10.1007/s12220-010-9189-1
ISSN:	1559-002X
Aparece nas coleções:	DECEA - Artigos publicados em periódicos

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