English

Sur les structures de Poisson singuli\`eres

Dynamical Systems 2007-05-23 v1 Mathematical Physics math.MP Symplectic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/0402312,
  title  = {Sur les structures de Poisson singuli\`eres},
  author = {Laurent Stolovitch},
  journal= {arXiv preprint arXiv:math/0402312},
  year   = {2007}
}

Comments

34 pages, to appear in Ergodic Theory and Dynamical Systems