Un problème de Riemann–Hilbert local non-linéaire pour les germes de feuilletages holomorphes singuliers en dimension deux

Abstract: We prove a result of Riemann–Hilbert kind for germs of foliation in . This result has the following consequence: the cobordism class of a second kind foliation in is onto the equisingularity class of its separatrix. To cite this article: Y. Genzmer, C. R. Acad. Sci. Paris, Ser. I 344 (2007). [Copyright &y& Elsevier]