Polar curves of a singular foliation

We give a decomposition into bunches of branches of a generic polar curve o f a singular foliation F depending only on the topology of its separatrices , under the assumption that F has not saddle-nodes in the desingularization and its logarithmic model is not resonant. We generalize the results known for the curves with one or several branches and some foliations with only one separatrix. (C) 2000 Academie des sciences/Editions scientifiques et me dicales Elsevier SAS.