Folheações holomorfas tangentes a subconjuntos Levi-flat

• Ano de defesa: 2016
• Autor(a) principal: Jane Lage Bretas
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Minas Gerais; UFMG
• Palavras-chave em Português: hipersuperfícies Levi-at; variedade CR; Folheações holomorfas; Matemática; Folheações (Matemática); Folheações (Matematica); Variedades (Matematica); Hipersuperficies
• Link de acesso: http://hdl.handle.net/1843/EABA-A9FJ24

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.