2000/05/26 by Philippe Monnier, Monnier, Philippe
Mathematics · #53 D 17 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:17 #msc:53
paper · pdf · doi:10.48550/arxiv.math/0005261
15 pages
arxiv created 2001/05/28 · arxiv updated 2009/11/30
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.