{ "id": "1605.03220", "version": "v1", "published": "2016-05-10T21:40:52.000Z", "updated": "2016-05-10T21:40:52.000Z", "title": "A very general quartic double fourfold is not stably rational", "authors": [ "Brendan Hassett", "Alena Pirutka", "Yuri Tschinkel" ], "comment": "16 pages", "categories": [ "math.AG", "math.NT" ], "abstract": "We prove that a very general double cover of the projective four-space, ramified in a quartic threefold, is not stably rational.", "revisions": [ { "version": "v1", "updated": "2016-05-10T21:40:52.000Z" } ], "analyses": { "keywords": [ "general quartic double fourfold", "stably rational", "general double cover", "quartic threefold" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }