Some remarks on Brauer groups of K3 surfaces
| dc.creator | van Geemen, Bert | |
| dc.date | 2004-07-31 | |
| dc.date | 2004-11-08 | |
| dc.date.accessioned | 2026-07-07T05:10:54Z | |
| dc.date.available | 2026-07-07T05:10:54Z | |
| dc.description | 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. | |
| dc.description | This replacement has a more general theorem (thm 6.2) on Brauer groups of double covers of rational surfaces. Corrected some typos, updated references. To appear in Advances in Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0408006 | |
| dc.identifier | http://arxiv.org/abs/math/0408006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72074 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Some remarks on Brauer groups of K3 surfaces | |
| dc.type | text |