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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 266–279 (Mi tm2606)  

Rigidity of Poisson Structures

L. Stolovitch

Laboratoire J.-A. Dieudonné, U. M. R. 6621 du CNRS, Université de Nice–Sophia Antipolis, Nice, France
References:
Abstract: We study germs of analytic Poisson structures which are suitable perturbations of a quasihomogeneous Poisson structure in a neighborhood of the origin of $\mathbb R^n$ or $\mathbb C^n$, a fixed point of the Poisson structures. We define a “diophantine condition” relative to the quasihomogeneous initial part $\mathcal L$ which ensures that such a good perturbation of $\mathcal L$ which is formally conjugate to $\mathcal L$ is also analytically conjugate to it.
Received in February 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 256–269
DOI: https://doi.org/10.1134/S008154380904021X
Bibliographic databases:
UDC: 514.763
Language: English
Citation: L. Stolovitch, “Rigidity of Poisson Structures”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 266–279; Proc. Steklov Inst. Math., 267 (2009), 256–269
Citation in format AMSBIB
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\paper Rigidity of Poisson Structures
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\pages 266--279
\publ MAIK Nauka/Interperiodica
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