Poisson Cohomology Of CP~n

As part of algebraic variety,toric variety forms plenty of interesting examples.The corresponding fan can always decide its geometry characteristics.In this paper,we aim to continue the work of Hong W,who divided the Poissson cohomology of CP~n into direct sum of several parts under the background of toric variety,where those parts can be determined by points in the character lattice of CP~n.We give some examples of the Poisson cohomology of CP~n in some cases and give some results about the points.