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

2012/03/10 by Hassett, Brendan, Kresch, Andrew, Tschinkel, Yuri
#14F22 #14G25 (primary) #14J28 (secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.2214

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.

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