The study of deformations and degenerations of Poisson structures occupies a special position within the classical framework of analysis of degenerations of geometric structures. In this thesis as the main result we build a non-triavial deformation in which the canonical quadratic structure in CP(n) is a continuous limit of Kahlerian structures. Furthermore, as a secondary result of deformation studies we have shown that an invariant Poisson structure in a toric variety with finite number of leaves cannot be exact in Poisson cohomology. Our study also includes considerations about Poisson cohomology of the canonical quadratic structure of C(n).