Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Odd order Brauer--Manin obstruction on diagonal quartic surfaces   We determine the odd order torsion subgroup of the Brauer group of diagonal
quartic surfaces over the field of rational numbers. We show that a
non-constant Brauer element of odd order always obstructs weak approximation
but never the Hasse principle.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an