On Fatou-Julia decompositions

Taro Asuke

Displaying similar documents to “On Fatou-Julia decompositions”

Holomorphic foliations in certain holomorphically convex domains of $ℂ^{2}$

Marco Brunella, Paulo Sad (1995)

Bulletin de la Société Mathématique de France

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Complexifications of Transversely Holomorphic.

A. Haefliger, D. Sundararaman (1985)

Mathematische Annalen

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Irreducible components of the space of holomorphic foliations.

Omegar Calvo-Andrade (1994)

Mathematische Annalen

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Positivity, vanishing theorems and rigidity of Codimension one Holomorphic Foliations

O. Calvo-Andrade (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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It is a known fact that the space of codimension one holomorphic foliations with singularities with a given ‘normal bundle’ has a natural structure of an algebraic variety. The aim of this paper is to consider the problem of the description of its irreducible components. To do this, we are interested in the problem of the existence of an integral factor of a twisted integrable differential 1–form defined on a projective manifold. We are going to do a geometrical analysis of the codimension...

On deformations of transversely holomorphic foliations.

A. Haefliger, J. Girbau (1983)

Journal für die reine und angewandte Mathematik

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Independent Rigid Secondary Classes for Holomorphic Foliations.

Steven Hurder (1982)

Inventiones mathematicae

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A note on projective Levi flats and minimal sets of algebraic foliations

Alcides Lins Neto (1999)

Annales de l'institut Fourier

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In this paper we prove that holomorphic codimension one singular foliations on $ℂ ℙ^{n}, n \geq 3$ have no non trivial minimal sets. We prove also that for $n \geq 3$ , there is no real analytic Levi flat hypersurface in $ℂ ℙ^{n}$ .

On deformations of holomorphic foliations

Joan Girbau, Marcel Nicolau (1989)

Annales de l'institut Fourier

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Given a non-singular holomorphic foliation $ℱ$ on a compact manifold $M$ we analyze the relationship between the versal spaces $K$ and $K^{tr}$ of deformations of $ℱ$ as a holomorphic foliation and as a transversely holomorphic foliation respectively. With this purpose, we prove the existence of a versal unfolding of $ℱ$ parametrized by an analytic space $K^{f}$ isomorphic to $π^{- 1} (0) \times Σ$ where $Σ$ is smooth and $π$ : $K \to K^{tr}$ is the forgetful map. The map $π$ is shown to be an epimorphism in two situations: (i) if $H^{2} (M, Θ_{ℱ}^{f}) = 0$ , where $Θ_{ℱ}^{f}$ is...

Unfoldings of holomorphic foliations.

Xavier Gómez-Mont (1989)

Publicacions Matemàtiques

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The objective of this paper is to give a criterium for an unfolding of a holomorphic foliation with singularities to be holomorphically trivial.