Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double spinor Calabi-Yau varieties   Consider the ten-dimensional spinor variety in the projectivization of a
half-spin representation of dimension sixteen. The intersection X of two
general translates of this variety is a smooth Calabi-Yau fivefold, as well as
the intersection Y of their projective duals. We prove that although X and Y
are not birationally equivalent, they are derived equivalent and L-equivalent
in the sense of Kuznetsov and Shinder.

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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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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: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org