Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some motivic pairings   In this note we prove the geometrical origin of pairings of abelian schemes.
According to Deligne's philosophy of motives, this means that these pairings
are motivic. We make also explicit the link between pairings and linear
morphisms. We give a geometrical explanation of the main properties of the Weil
pairings and of the Riemann forms of line bundles. We generalize our remarks to
pairings of 1-motives.

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci