Singularities of bi-Hamiltonian systems

We study the relationship between singularities of bi-Hamiltonian systems and algebraic properties of compatible Poisson brackets. As the main tool, we introduce the notion of linearization of a Poisson pencil. From the algebraic viewpoint, a linearized Poisson pencil can be understood as a Lie alge...

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Bibliographic Details
Main Authors: Alexey Bolsinov, Anton Izosimov
Format: Default Article
Published: 2014
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