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

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

2012-03-10

arxiv.org/abs/1203.2214v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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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