Two Torsion in the Brauer Group of a Hyperelliptic Curve

نویسندگان

  • BRENDAN CREUTZ
  • BIANCA VIRAY
چکیده

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 C1. In general, we show that a large (but in general proper) subgroup of the 2torsion 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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تاریخ انتشار 2014