Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah
  polynomials   We prove the arithmetic Hodge index and hard Lefschetz conjectures for the
Grassmannian $G=G(2,N)$ parametrizing lines in projective space, for the
natural arithmetic Lefschetz operator defined via the Pl\"ucker embedding of
$G$ in projective space. The analysis of the Hodge index inequalities involves
estimates on certain Racah polynomials.

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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
0
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: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas