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Espaços de Moduli de Germes de folheações holomorfas em (C2,0)
(Universidade Federal de Minas GeraisUFMG, 2006-01-18)
Integrabilidade algébrica de folheações holomorfas e o problema de Poincaré
(Universidade Federal de Minas GeraisUFMG, 2010-05-28)
G. Darboux presented , in [32], a theory on the existence of first integrals for polynomial difierential equations based on the existence of suficiently many invariant algebraic hypersurfaces. Concomitantly H. Poincaré, ...
Sobre uma conjectura de M. Brunella
(Universidade Federal de Minas GeraisUFMG, 2009-02-05)
Sobre distribuição e folheações holomorfas de codimensão maior do que um
(Universidade Federal de Minas GeraisUFMG, 2010-10-14)
Let w be a holomorphic LDS r-form on a complex manifold M. In the case M = Cn, we show that if ker(w) admits a trivial subbundle of rank k, then there exists a holomrphic LDS (r - k)-form n on Cn such that ! is the exterior ...
Folheações holomorfas tangentes a subconjuntos Levi-flat
(Universidade Federal de Minas GeraisUFMG, 2016-03-02)
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 ...
Classificação dedistribuições holomorfas em variedades de Hopf
(Universidade Federal de Minas GeraisUFMG, 2014-11-21)
In this thesis, we classify nonsingular holomorphic foliations of dimension and codimension one on classical, generic and intermediate Hopf manifolds of dimension n .= 3. We also did a study of singular set of singular ...
Hipersuperfícies Levi-flat e webs holomorfas
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2021-06-11)
In this thesis, aspects of the local and global theory of Holomorphic Webs and Levi-flat Hypersurfaces will be considered. We will address three proposals. The first one, is to consider a real analytic Levi-flat hypersurface ...
Degree of the Exceptional Component of the Space of Holomorphic Foliations of Degree Two and Codimension One in P^3
(Universidade Federal de Minas GeraisUFMG, 2018-05-09)
The purpose of this work is to obtain the degree of the exceptional component, (...), of the space of holomorphic foliations of degree two and codimension one in (...). As shown in the celebrated work by Dominique Cerveau ...
Campos de vetores tangentes a folheações holomorfas de codimensão Um
(Universidade Federal de Minas GeraisUFMG, 2016-04-08)
We say that a germ of vector field X in (...) is tangent to a holomorphic foliation defined by a germ of integrable 1-form (...). In this thesis we aim to study some geometric properties arising from this setting. We first ...