Effective bounds for Brauer groups of Kummer surfaces over number fields
arXiv:1606.06074 · doi:10.1112/jlms.12118
Abstract
We study effective bounds for Brauer groups of Kummer surfaces associated to the Jacobians of curves of genus defined over number fields.
arXiv comment37 pages; an error in an example is fixed; Magma code is included at the end of the source file
References in corpus (10)
- Transcendental obstructions to weak approximation on general K3 surfaces
- On the Brauer group of diagonal quartic surfaces
- Computing Néron-Severi groups and cycle class groups
- Brauer groups on K3 surfaces and arithmetic applications
- Hasse principle for generalised Kummer varieties
- Transcendental Brauer groups of products of CM elliptic curves
- On the Brauer-Manin obstruction for cubic surfaces
- Kummer surfaces and the computation of the Picard group
- Effective bounds for Brauer groups of Kummer surfaces over number fields
- A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties