Two torsion in the Brauer group of a hyperelliptic curve (2015)
AuthorsCreutz, B., Viray, B.show all
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.
CitationCreutz, B., Viray, B. (2015) Two torsion in the Brauer group of a hyperelliptic curve. Manuscripta Mathematica, 147(1), pp. 139-167.
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