Folheações holomorfas com grupo de holonomia prescrito
Let F be a foliation de ned by a holomorphic vector eld X on a neighborhood of 0 2 C2 and let G be a group of holomorphic germs of di eomorphisms at 0. We address to the question on whether G is conjugated to the projective holonomy group associated to F. Our aim in this work is to study Lins Neto&#...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Brasil |
| Institución: | Universidade Federal de Minas Gerais (UFMG) |
| Repositorio: | Repositório Institucional da UFMG |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufmg.br:1843/EABA-9NCJDF |
| Acceso en línea: | http://hdl.handle.net/1843/EABA-9NCJDF |
| Access Level: | acceso abierto |
| Palabra clave: | índice Teorema de Camacho-Sad Holonomia Campos de vetores Teorema de Grauert Teorema de Seidenberg Classe de Chern de Camacho-Sad Folheações Holomorfas Redução de Singularidades Matemática Folheações (Matematica) Funções holomorficas Singularidades (Matemática) |
| Sumario: | Let F be a foliation de ned by a holomorphic vector eld X on a neighborhood of 0 2 C2 and let G be a group of holomorphic germs of di eomorphisms at 0. We address to the question on whether G is conjugated to the projective holonomy group associated to F. Our aim in this work is to study Lins Neto's article [2] that provides a partial solution to this problem.Teorema. Let G = fg1; :::; gg be a group of germs at 0 2 C of holomorphic di eomorphisms with leave 0 xed and such that g1; :::; g and g1 g are linearizable. Then there is a germ holomorphic vector eld X, with a singularity at 0 2 C2, such that its projective holonomy group conjugated to the group holomorphically generated by G. |
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