Effective computation of Picard groups and Brauer-Manin obstruction of degree two K3 surfaces over number fields

Abstract

Using the Kuga-Satake correspondence we provide an effective algorithm for the computation of the Picard and Brauer groups of K3 surfaces of degree 2 over number fields.

15 pages

References in corpus (2)

• Transcendental obstructions to weak approximation on general K3 surfaces
• On the Brauer group of diagonal quartic surfaces