Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commuting families in skew fields and quantization of Beauville's
  fibration   We construct commuting families in fraction fields of symmetric powers of
algebras. The classical limit of this construction gives Poisson commuting
families associated with linear systems. In the case of a K3 surface S, they
correspond to lagrangian fibrations introduced by Beauville. When S is the
canonical cone of an algebraic curve C, we construct commuting families of
differential operators on symmetric powers of C, quantizing the Beauville
systems.

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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: solv-int