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## Laurent Stolovitch (Université de Nice - Sophia Antipolis, France)

### Holomorphic normal form of nonlinear perturbations of nilpotent vector fields

We give a sufficient condition that ensures that there exists a germ of holomorphic transformation of a germ of holomorphic nonlinear perturbation of a nilpotent linear vector field in (Cn, 0), n ≥ 2, to a normal form.