Surfeuilletages de feuilletages holomorphes singuliers non dégénérés en dimension 2 et 3

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]