Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmeticity of hyperbolic 3-manifolds containing infinitely many
  totally geodesic surfaces   We prove that if a closed hyperbolic 3-manifold M contains infinitely many
totally geodesic surfaces, then M is arithmetic.

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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas