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.
Some remarks on Brauer groups of K3 surfaces / B. van Geemen. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 197:1(2005), pp. 222-247.
Some remarks on Brauer groups of K3 surfaces
B. van GeemenPrimo
2005
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 polarisation of degree two.
Pubblicazioni consigliate
I metadati presenti in AIR sono rilasciati con licenza CCO mentre i file delle pubblicazioni sono rilasciati con licenza CC BY-SA, salvo diversa indicazione. In caso di violazione di copyright, contattare l'assistenza di AIR
