Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on the component group of the Sato-Tate group   In this paper, we give a complete characterization of the component group of
the Sato-Tate group of an abelian variety $A$ of arbitrary dimension, defined
over a number field $K,$ in terms of the connectedness of the Lefschetz group
associated to $A.$

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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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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: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th