Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizing algebraic curves with infinitely many integral points   A classical theorem of Siegel asserts that the set of S-integral points of an
algebraic curve C over a number field is finite unless C has genus 0 and at
most two points at infinity. In this paper we give necessary and sufficient
conditions for C to have infinitely many S-integral points.

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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: econ