{ "id": "1203.2214", "version": "v1", "published": "2012-03-10T00:03:40.000Z", "updated": "2012-03-10T00:03:40.000Z", "title": "Effective computation of Picard groups and Brauer-Manin obstruction of degree two K3 surfaces over number fields", "authors": [ "Brendan Hassett", "Andrew Kresch", "Yuri Tschinkel" ], "comment": "15 pages", "categories": [ "math.AG" ], "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.", "revisions": [ { "version": "v1", "updated": "2012-03-10T00:03:40.000Z" } ], "analyses": { "subjects": [ "14G25", "14F22", "14J28" ], "keywords": [ "k3 surfaces", "number fields", "picard groups", "brauer-manin obstruction", "effective computation" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1203.2214H" } } }