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Surfeuilletages de feuilletages holomorphes singuliers non dégénérés en dimension 2 et 3
- Source :
-
Comptes Rendus. Mathématique . Oct2006, Vol. 343 Issue 7, p479-482. 4p. - Publication Year :
- 2006
-
Abstract
- Abstract: We study Levi-flat foliations which complex part is an holomorphic foliation with an isolated singularity at the origin of or . In dimension 2, we show that, if the complex part is non-degenerate or non-degenerate after one blow up, then the Levi-flat foliation and its complex part are both described by a first integral which is submersive on . In dimension 3, we show that a linear vector field is never the complex part of a codimension 3 Levi-flat foliation. To cite this article: L. Landuré, C. R. Acad. Sci. Paris, Ser. I 343 (2006). [Copyright &y& Elsevier]
Details
- Language :
- French
- ISSN :
- 1631073X
- Volume :
- 343
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 22796226
- Full Text :
- https://doi.org/10.1016/j.crma.2006.09.006