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O espaço de módulos de geodésicas complexas no plano hiperbólico complexoBrum, Douglas Ferreira 30 August 2013 (has links)
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Previous issue date: 2013-08-30 / CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Esse trabalho visa descrever o espaço de Módulos de m-uplas geodésicas complexas
distintas em H2c nos casos regular, especial e degenerado. Para tal fim faremos uso da
matriz de Gram e dos invariantes (d-invariantes, δ-invariantes, invariante angular e invariantes
parabólicos) que descrevem unicamente a classe de congruência de PU(2, 1) de
m-uplas ordenadas de geodésicas complexas distintas nos diferentes casos supracitados. / This work aims to describe the Modules space of m-tuples distinct complex geodesics
in H2c in the cases regular, special and degenerate. To this end we use the Gram matrix
and the invariant (d-invariant, δ-invariants, angular invariant and parabolic invariants)
that define uniquely the PU(2,1)-congruence class of ordered m-uplas of distinct complex
geodesics in the different cases above.
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