Singular foliations and differential -forms
Airton S. De Medeiros (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “The topology of integrable differential forms near a singularity”
Singular foliations and differential -forms
On vector fields in C without a separatrix.
J. Olivares-Vázquez (1992)
Revista Matemática de la Universidad Complutense de Madrid
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A family of germs at 0 of holomorphic vector fields in C without separatrices is constructed, with the aid of the blown-up foliation F in the blown-up manifold C. We impose conditions on the multiplicity and the linear part of F at its singular points (i.e., non-semisimplicity and certain nonresonancy), which are sufficient for the original vector field to be separatrix-free.
Local structural stability of integrable 1-forms
Alcides Lins Neto (1977)
Annales de l'institut Fourier
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In this work we consider a class of germs of singularities of integrable 1-forms in which are structurally stable in class ( if , if ), whose 1-jet is zero at the singularity. In this class the stability depends essentially on the fact that the perturbations allowed are integrable.
On the Factorization of the Poincaré Polynomial: A Survey
Akyıldız, Ersan (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 13P05, 14M15, 14M17, 14L30. Factorization is an important and very difficult problem in mathematics. Finding prime factors of a given positive integer n, or finding the roots of the polynomials in the complex plane are some of the important problems not only in algorithmic mathematics but also in cryptography.
On the theorem of Frobenius for complex vector fields
Olle Stormark (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A period mapping for certain semi-universal deformations
Eduard Looijenga (1975)
Compositio Mathematica
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On algebraic sets invariant by one-dimensional foliations on
Marcio G. Soares (1993)
Annales de l'institut Fourier
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We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on without algebraic solutions to the case of foliations by curves on . We give an example of a foliation on with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.