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Complete polynomial vector fields in two complex variables
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Dominique Cerveau
Published/Copyright:
July 27, 2005
Abstract
We study the classification of polynomial vector fields in two complex variables under the hypotheses that the singularities are isolated and the flow is complete. Normal forms are obtained for the case the generic orbit is diffeomorphic to ℂ. For the case the generic orbit is diffeomorphic to ℂ ∖ {0} and there is an affine singularity we classify the linear part of the vector field and prove the existence of entire linearization or first integral.
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Published Online: 2005-07-27
Published in Print: 2005-05-25
© de Gruyter
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Articles in the same Issue
- Feller-type properties and path regularities of Markov processes
- Equivalent expressions for norms in classical Lorentz spaces
- Modular arithmetic of free subgroups
- Complete polynomial vector fields in two complex variables
- 3-dimensional Bol loops as sections in non-solvable Lie groups
- Sharp conditions for weighted Sobolev interpolation inequalities
- Fixed points of pro-tori in cohomology spheres
- Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions
- A locally finite dense group acting on the random graph
