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

Andrew Kresch; Brendan Hassett; Yuri Tschinkel

arxiv: 1203.2214 · v1 · pith:IUGNZUNBnew · submitted 2012-03-10 · 🧮 math.AG

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

Brendan Hassett , Andrew Kresch , Yuri Tschinkel This is my paper

classification 🧮 math.AG

keywords computationdegreeeffectivefieldsgroupsnumberpicardsurfaces

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

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