Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discretization and superintegrability all rolled into one   Abelian integrals arise in the mathematical description of various physical
processes. According to Abel's theorem these integrals are related to motion of
a set of points along a plane curve around fixed points, which are relatively
little used in physics applications. We propose to interpret coordinates of the
fixed points either as parameters of exact discretization or as additional
first integrals for equations of motion reduced to Abelian quadratures.

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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph