Folheações holomorfas tangentes a subconjuntos Levi-flat
This thesis is devoted to the study of holomorphic foliations of dimension n, in local and global projective cases, which are tangent to Levi-at subsets. In this work, we will extend some aspects of the theory of Levi-at hypersurfaces invariant by holomorphic foliations to the context of Levi-at sub...
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| Format: | doctoral thesis |
| Status: | Published version |
| Publication Date: | 2016 |
| Country: | Brasil |
| Institution: | Universidade Federal de Minas Gerais (UFMG) |
| Repository: | Repositório Institucional da UFMG |
| Language: | Portuguese |
| OAI Identifier: | oai:repositorio.ufmg.br:1843/EABA-A9FJ24 |
| Online Access: | http://hdl.handle.net/1843/EABA-A9FJ24 |
| Access Level: | Open access |
| Keyword: | hipersuperfícies Levi-at variedade CR Folheações holomorfas Matemática Folheações (Matemática) Folheações (Matematica) Variedades (Matematica) Hipersuperficies |
| Summary: | This thesis is devoted to the study of holomorphic foliations of dimension n, in local and global projective cases, which are tangent to Levi-at subsets. In this work, we will extend some aspects of the theory of Levi-at hypersurfaces invariant by holomorphic foliations to the context of Levi-at subsets. We study, in particular, in local and global cases, situations in which a foliation tangent to a Levi-at subset H has meromorphic or rational rst integral in the intrinsic complexicationH{. Finally, we study the integrability of special types of projective foliations tangent to Levi-at hypersurfaces, more specically foliations induced by closed 1-forms or with liouvillian rst integral or that are generic element of a linear pencil. |
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