Some remarks on Brauer groups of K3 surfaces |
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Authors: | Bert van Geemen |
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Affiliation: | Dipartimento di Matematica, Università di Milano, Via Saldini 50, I-20133 Milano, Italia |
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Abstract: | 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 polarization of degree two. |
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