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.

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Other titles: Normalisation sectorielle de structures de Poisson Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English August 2008 21 Jan 2009 10:55 18 Feb 2018 10:07 Elsevier 1631-073X Closed https://doi.org/10.1016/j.crma.2008.07.007 http://www.ams.org/mathscinet-getitem?mr=2441915