Espaço de módulos de triplas geodésicas complexas no espaço hiperbólico complexo de dimensão 3

In this work we study the space M of ordered triples of distinct complex geodesics in the complex hyperbolic space of dimension 3, up to its holomorphic isometries group. The main aim is to construct the moduli space forM. To solve this problem we use the polar sets of complex geodesics and Gram mat...

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Detalles Bibliográficos
Autor: Javier Ticona Yucra
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Institución:Universidade Federal de Minas Gerais (UFMG)
Repositorio:Repositório Institucional da UFMG
Idioma:portugués
OAI Identifier:oai:repositorio.ufmg.br:1843/EABA-AMELGL
Acceso en línea:http://hdl.handle.net/1843/EABA-AMELGL
Access Level:acceso abierto
Palabra clave:Espaço hiperbólico complexo
Geodésicas complexas
Gram
Conjuntos polares
Matriz de
Espaço de módulos
Matemática
Teoria de modulos
Estruturas Geodesicas
Modulos (Algebra)
Espaços hiperbolicos
Geometria algebrica
Descripción
Sumario:In this work we study the space M of ordered triples of distinct complex geodesics in the complex hyperbolic space of dimension 3, up to its holomorphic isometries group. The main aim is to construct the moduli space forM. To solve this problem we use the polar sets of complex geodesics and Gram matrices associated with these sets.