A Fatou-Julia decomposition of transversally holomorphic foliations

Taro Asuke

Displaying similar documents to “A Fatou-Julia decomposition of transversally holomorphic foliations”

The $C^{1}$ invariance of the algebraic multiplicity of a holomorphic vector field

Rudy Rosas (2010)

Annales de l’institut Fourier

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We prove that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by $C^{1}$ equivalences.

Flowability of plane homeomorphisms

Frédéric Le Roux, Anthony G. O’Farrell, Maria Roginskaya, Ian Short (2012)

Annales de l’institut Fourier

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We describe necessary and sufficient conditions for a fixed point free planar homeomorphism that preserves the standard Reeb foliation to embed in a planar flow that leaves the foliation invariant.

Finite determinacy of dicritical singularities in $(ℂ^{2}, 0)$

Gabriel Calsamiglia-Mendlewicz (2007)

Annales de l’institut Fourier

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For germs of singularities of holomorphic foliations in $(ℂ^{2}, 0)$ which are regular after one blowing-up we show that there exists a functional analytic invariant (the transverse structure to the exceptional divisor) and a finite number of numerical parameters that allow us to decide whether two such singularities are analytically equivalent. As a result we prove a formal-analytic rigidity theorem for this kind of singularities.

A note on M. Soares’ bounds

Eduardo Esteves, Israel Vainsencher (2006)

Annales de l’institut Fourier

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We give an intersection theoretic proof of M. Soares’ bounds for the Poincaré-Hopf index of an isolated singularity of a foliation of ${ℂℙ}^{n}$ .

Regular projectively Anosov flows on three-dimensional manifolds

Masayuki Asaoka (2010)

Annales de l’institut Fourier

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We give the complete classification of regular projectively Anosov flows on closed three-dimensional manifolds. More precisely, we show that such a flow must be either an Anosov flow or decomposed into a finite union of $T^{2} \times I$ -models. We also apply our method to rigidity problems of some group actions.

Displaying similar documents to “A Fatou-Julia decomposition of transversally holomorphic foliations”

The C 1 invariance of the algebraic multiplicity of a holomorphic vector field

Flowability of plane homeomorphisms

Finite determinacy of dicritical singularities in ( ℂ 2 , 0 )

A note on M. Soares’ bounds

Regular projectively Anosov flows on three-dimensional manifolds

The $C^{1}$ invariance of the algebraic multiplicity of a holomorphic vector field

Finite determinacy of dicritical singularities in $(ℂ^{2}, 0)$