CIRM – Research in Pairs — Holomorphic Poisson Structures

The study of the global structure of holomorphic Poisson structures is still in its infancy. Except for papers by Polishchuck, Druel, Gualtieri-Pym, Lima-Pereira, and Pym, not much is known on the subject. Moreover, with the exception of Druel's results, they all concern Poisson structures on projective spaces or Fano manifolds. A systematic study of the structure of varieties carrying Poisson structures remains to be done. The goal of this Research in Pairs is to start carrying out such systematic study.