Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on uniform boundedness for Brauer groups   The Tate conjecture for divisors on varieties over number fields is
equivalent to finiteness of $\ell$-primary torsion in the Brauer group. We show
that this finiteness is actually uniform in one-dimensional families for
varieties that satisfy the Tate conjecture for divisors -- e.g. abelian
varieties and $K3$ surfaces.

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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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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: hep-th
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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: gr-qc
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The categories of this paper are: mtrl-th
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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: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph