Analytic
Linearizability and Finite Determinacy of Certain Poisson
Structures

Abstract
We use the results on the analytic linearizability of vector
fiels in "Analytic linearizability of some resonant vector
fields" to obtain an analytic version of a theorem of J.P.
Dufour on the linearization of certain Poisson structures. In
the case of resonant vector fields we get finits determinacy of
the associated Poisson structure.