Some remarks on Brauer groups of K3 surfaces

Details Some remarks on Brauer groups of K3 surfaces Some remarks on Brauer groups of K3 surfaces

2004-07-31

arxiv.org/abs/math/0408006v2

Mathematics

Algebraic Geometry

This replacement has a more general theorem (thm 6.2) on Brauer groups of double covers of rational surfaces. Corrected some t

Scientific paper

We discuss the geometry of the genus one fibrations associated to an elliptic fibration on a K3 surface. We show that the two-torsion subgroup of the Brauer group of a general elliptic fibration is naturally isomorphic to the two-torsion of the Jacobian of a curve associated to the fibration. We remark that this is related to Recillas' trigonal construction. Finally we discuss the two-torsion in the Brauer group of a general K3 surface with a polarisation of degree two.

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