# Sectorial normalization of Poisson structures

Lohrmann, P (2008). Sectorial normalization of Poisson structures. Comptes Rendus Mathematique, 346(15-16):829-832.

## Abstract

Our study deals with some singular Poisson structures holomorphic near View the MathML source admitting a polynomial normal form, i.e. a finite number of formal invariants. Their normalizing series generally diverge. We show the existence of normalizing transformations holomorphic on some sectorial domains a<argxR<b, where xR denotes a monomial associated to the problem. It follows an analytic classification.

## Abstract

Our study deals with some singular Poisson structures holomorphic near View the MathML source admitting a polynomial normal form, i.e. a finite number of formal invariants. Their normalizing series generally diverge. We show the existence of normalizing transformations holomorphic on some sectorial domains a<argxR<b, where xR denotes a monomial associated to the problem. It follows an analytic classification.