{ "id": "1607.01303", "version": "v1", "published": "2016-07-05T15:40:14.000Z", "updated": "2016-07-05T15:40:14.000Z", "title": "Obstructions to the Hasse principle in families", "authors": [ "Martin Bright" ], "comment": "16 pages; comments welcome", "categories": [ "math.NT" ], "abstract": "For a family of varieties over a number field, we give conditions under which 100% of members have no Brauer-Manin obstruction to the Hasse principle.", "revisions": [ { "version": "v1", "updated": "2016-07-05T15:40:14.000Z" } ], "analyses": { "subjects": [ "11G35" ], "keywords": [ "hasse principle", "brauer-manin obstruction", "number field" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }