Complexifications of Transversely Holomorphic.

A. Haefliger; D. Sundararaman

Displaying similar documents to “Complexifications of Transversely Holomorphic.”

Irreducible components of the space of holomorphic foliations.

Omegar Calvo-Andrade (1994)

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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...

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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Independent Rigid Secondary Classes for Holomorphic Foliations.

Steven Hurder (1982)

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On deformations of transversely holomorphic foliations.

A. Haefliger, J. Girbau (1983)

Journal für die reine und angewandte Mathematik

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Quadratic Forms and Holomorphic Foliations on Singular Surfaces.

César Camacho (1988)

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On the real secondary classes of transversely holomorphic foliations

Taro Asuke (2000)

Annales de l'institut Fourier

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In this paper we study the real secondary classes of transversely holomorphic foliations. We define a homomorphism from the space $H^{*} ({WO}_{2 q})$ of the real secondary classes to the space $H^{*} ({WU}_{q})$ of the complex secondary classes that corresponds to forgetting the transverse holomorphic structure. By using this homomorphism we show, for example, the decomposition of the Godbillon-Vey class into the imaginary part of the Bott class and the first Chern class of the complex normal bundle of the foliation....

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...