Some remarks on Brauer groups of K3 surfaces
By Bert van Geemen. 2004
82 citations recorded by the source corpus.
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.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/aa0202915451f15f3183849f3a6d2b38771718b4
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
- D. Huybrechts
- E. Markman
- Kieran G. O’Grady
- P. Stellari
- Emanuele Macrì
- Keiji Oguiso
- Ulrike Riess
- Justin Sawon
Citations in the corpus
- Lectures on K3 Surfaces (2016, background): “To get a feeling for certain torsion parts of Br(X), we mention a result of van Geemen [605].”