Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Freiheitssatz for Poisson algebras   We prove the Freiheitssatz for Poisson algebras in characteristic zero. We
also give a proof of the tameness of automorphisms for two generated free
Poisson algebras and prove that an analogue of the commutator test theorem is
equivalent to the two dimensional classical Jacobian conjecture using the
Freiheitssatz and Jung's Theorem.

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The categories of this paper are: hep-th
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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: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph