Effective Computation of Picard Groups and Brauer-Manin Obstructions of Degree Two K3 Surfaces Over Number Fields

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2013
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Springer
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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Hassett, Brendan, Kresch, Andrew and Tschinkel, Yuri. "Effective Computation of Picard Groups and Brauer-Manin Obstructions of Degree Two K3 Surfaces Over Number Fields." Rendiconti del Circolo Matematico di Palermo, 62, no. 1 (2013) Springer: 137-151. http://dx.doi.org/10.1007/s12215-013-0116-8.

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