Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinearizability of certain Poisson structures near a symplectic leaf   We give an intrinsic proof that Vorobjev's first approximation of a Poisson
manifold near a symplectic leaf is a Poisson manifold. We also show that Conn's
linearization results cannot be extended in Vorobjev's setting.

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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: eess