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	Provedor de dados Anais da ABC (AABC) (2) Autor Scárdua,Bruno (2) Ito,Toshikazu (1) Martelo,Mitchael (1) Palavra-chave Distribution (1) Euler-Poincaré characteristic (1) Foliation (1) Formal complex diffeomorphism (1) Germ of complex diffeomorphism (1) Holomorphic foliation (1) Holomorphic one-form (1) Infinitesimal generator (1) Vector field (1) Mais... Tipo do documento Info:eu-repo/semantics/article (2) Ano 2012 (1) 2003 (1) País Brazil (2) Idioma Inglês (2)		Ordenar por:  Relevância Autor Título Ano Registros recuperados: 2 Primeira ... 1 ... Última On groups of formal diffeomorphisms of several complex variables Anais da ABC (AABC) Martelo,Mitchael; Scárdua,Bruno. In this note we announce some results in the study of groups of formal or germs of analytic diffeomorphisms in several complex variables. Such groups are related to the study of the transverse structure and dynamics of Holomorphic foliations, via the holonomy group notion of a foliation's leaf. For dimension one, there is a well-established dictionary relating analytic/formal classification of the group, with its algebraic properties (finiteness, commutativity, solvability, among others). Such system of equivalences also characterizes the existence of suitable integrating factors, i.e., invariant vector fields and one-forms associated to the group. Our aim is to state the basic lines of such dictionary for the case of several complex variables groups. Our... Tipo: Info:eu-repo/semantics/article Palavras-chave: Formal complex diffeomorphism; Infinitesimal generator; Holomorphic foliation; Germ of complex diffeomorphism. Ano: 2012 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652012000400002 On holomorphic one-forms transverse to closed hypersurfaces Anais da ABC (AABC) Ito,Toshikazu; Scárdua,Bruno. In this note we announce some achievements in the study of holomorphic distributions admitting transverse closed real hypersurfaces. We consider a domain with smooth boundary in the complex affine space of dimension two or greater. Assume that the domain satisfies some cohomology triviality hypothesis (for instance, if the domain is a ball). We prove that if a holomorphic one form in a neighborhood of the domain is such that the corresponding holomorphic distribution is transverse to the boundary of the domain then the Euler-Poincaré-Hopf characteristic of the domain is equal to the sum of indexes of the one-form at its singular points inside the domain. This result has several consequences and applies, for instance, to the study of codimension one... Tipo: Info:eu-repo/semantics/article Palavras-chave: Holomorphic one-form; Vector field; Euler-Poincaré characteristic; Foliation; Distribution. Ano: 2003 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000300001 Registros recuperados: 2 Primeira ... 1 ... Última

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