Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Stably Irrational (2,3)-Complete Intersection Fourfold over
  $\mathbb{Q}$   We apply the specialization technique based on the decomposition of the
diagonal to find an explicit example over $\mathbb{Q}$ of a quadric and cubic
hypersurface in $\mathbb{P}^6$ such that their intersection is a smooth stably
irrational fourfold. Using the same degeneration, Nicaise and Ottem have
already proven that the the very general complete intersection of this type is
stably irrational using the motivic volume.

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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin