  It is known that the computation of the Poisson cohomology is closely related
to the classification of singularities of Poisson structures. In this paper, we
will first look for the normal forms of germs at (0,0) of Poisson structures on
the real (or complex) plane and recall a result given by Arnold. Then, we will
compute locally the Poisson cohomology of a particular type of Poisson
structure.
