Deformations of holomorphic foliations having a meromorphic first integral.

Jesús Mucino-Raymundo

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Displaying similar documents to “Deformations of holomorphic foliations having a meromorphic first integral.”

Extension theorems of Sakai type for separately holomorphic and meromorphic functions

Peter Pflug, Viêt Anh Nguyên (2003)

Annales Polonici Mathematici

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We first exhibit counterexamples to some open questions related to a theorem of Sakai. Then we establish an extension theorem of Sakai type for separately holomorphic/meromorphic functions.

On deformations of transversely holomorphic foliations.

A. Haefliger, J. Girbau (1983)

Journal für die reine und angewandte Mathematik

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Unfoldings of Meromorphic Functions.

Tatsuo Suwa (1983)

Mathematische Annalen

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Extending meromorphic functions on ...m x ...n.

Robert Speiser (1979)

Journal für die reine und angewandte Mathematik

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Linear holonomy groups of algebraic solutions of polynomial differential equations

Paulo Sad (1997)

Annales de l'institut Fourier

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We consider the problem of realization of a linear subgroup of $C^{*}$ as the linear holonomy group of an algebraic curve which is a leaf of a foliation of $CP (2)$ .

Transversely affine and transversely projective holomorphic foliations

B. Azevedo Scárdua (1997)

Annales scientifiques de l'École Normale Supérieure

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A calculus for meromorphic currents.

Mikael Passare (1988)

Journal für die reine und angewandte Mathematik

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Meromorphic extension spaces

Le Mau Hai, Nguyen Van Khue (1992)

Annales de l'institut Fourier

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The aim of the present paper is to study meromorphic extension spaces. The obtained results allow us to get the invariance of meromorphic extendibility under finite proper surjective holomorphic maps.