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Sur les notions de quasi-homogénéité de feuilletages holomorphes endimension deux.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Jul2005, Vol. 36 Issue 2, p177-185. 9p. - Publication Year :
- 2005
-
Abstract
- In this note, we recall the different notions of quasi-homogeneity for singular germs of holomorphic foliations in the plane presented in [6]. The classical notion of quasi-homogenity allude to those functions which belong to its own jacobian ideal. Given a foliation in the plane, asking that the equation of the separatrix set is a classical quasi-homogeneous function we obtain a natural generalization in the context of foliations. On the other hand, topological quasi-homogeneity is characterized by the fact that every topologically trivial deformation whose sepatrix family is analytically trivial is an analytically trivial deformation. We give an explicit example of a topological quasi-homogeneous foliation which is not quasi-homogeneous in the sense given above. [ABSTRACT FROM AUTHOR]
Details
- Language :
- French
- ISSN :
- 16787544
- Volume :
- 36
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 18275701
- Full Text :
- https://doi.org/10.1007/s00574-005-0034-2