Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two torsion in the Brauer group of a hyperelliptic curve   We construct unramified central simple algebras representing 2-torsion
classes in the Brauer group of a hyperelliptic curve, and show that every
2-torsion class can be constructed this way when the curve has a rational
Weierstrass point or when the base field is C_1. In general, we show that a
large (but in general proper) subgroup of the 2-torsion classes are given by
the construction. Examples demonstrating applications to the arithmetic of
hyperelliptic curves defined over number fields are given.

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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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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: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg