{ "id": "1411.3122", "version": "v1", "published": "2014-11-12T10:27:29.000Z", "updated": "2014-11-12T10:27:29.000Z", "title": "A very general quartic double fourfold or fivefold is not stably rational", "authors": [ "Arnaud Beauville" ], "categories": [ "math.AG" ], "abstract": "Applying an idea of C. Voisin, we prove that a double cover of P^4 or P^5 branched along a very general quartic hypersurface is not stably rational.", "revisions": [ { "version": "v1", "updated": "2014-11-12T10:27:29.000Z" } ], "analyses": { "keywords": [ "general quartic double fourfold", "stably rational", "general quartic hypersurface", "double cover" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.3122B" } } }