| Popis: |
We describe the classification of germs of holomorphic saddle-node vector fields Z at (0,0)∈ C 2 , up to analytical change of local coordinates. The classification of saddle-node foliations F Z , obtained by Martinet and Ramis, led to functional moduli. We reduce the conjugacy equation between two vector fields inducing the same foliation to a homological equation. We derive then a complete set of additional functional invariants for vector fields. To cite this article: L. Teyssier, C. R. Acad. Sci. Paris, Ser. I 336 (2003). |
