On the classifcation of germs of foliations in $(\mathbb C^n,0)$

We consider germs of holomorphic vector fields in $(\mathbb C^n,0), n\ge 3$, with non isolated singularities. We assume that the set of singular points forms a submanifold of codimension 2, and the sum of the nonzero eigenvalues of the linearization of the germs at each singular point is zero. We give the orbital analytic classification of generic germs of such type. It happens that the formal classification is trivial, and the analytic one has functional moduli, unlike the cases of dicritic and nondicritic generic germs in $n=2$ with isolated and degenerated singularity where the formal and analytical classification coincide [2],[3]. Joint work with Ortiz-Bobadilla, L. (UNAM, México); Voronin, S. M. (CSU, Russia).