Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-rationality of the S_6-symmetric quartic threefolds   The quartic hypersurfaces in P^4 invariant under the standard representation
of S_6 form a linear pencil. We prove that a general member of this pencil is
not rational.

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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: stat