Sur les structures de Poisson singulières

Laurent Stolovitch (1)

1 LEP - Laboratoire Émile Picard

We are interested in analytic singular Poisson structures with a non zero linear part at the singularity. Using recent work of the author about holomorphic normalization of commutative familly of singular vector fields, we obtain results about normalization of holomorphic Poisson structures.

Domaines: Systèmes dynamiques [math.DS]; Physique mathématique [math-ph]; Géométrie symplectique [math.SG]

Laurent Stolovitch. Sur les structures de Poisson singulières. Ergodic Theory and Dynamical Systems, 2004, 24, pp.1833-1863. ⟨hal-00121996⟩