{ "id": "1712.07594", "version": "v1", "published": "2017-12-20T17:18:02.000Z", "updated": "2017-12-20T17:18:02.000Z", "title": "On the Hasse principle for quartic hypersurfaces", "authors": [ "Oscar Marmon", "Pankaj Vishe" ], "comment": "48 pages, 1 figure", "categories": [ "math.NT", "math.AG" ], "abstract": "We establish the Hasse principle for smooth projective quartic hypersurfaces of dimension greater than or equal to 28 defined over $\\mathbb{Q}$.", "revisions": [ { "version": "v1", "updated": "2017-12-20T17:18:02.000Z" } ], "analyses": { "subjects": [ "11D72", "11P55", "14G05" ], "keywords": [ "hasse principle", "smooth projective quartic hypersurfaces", "dimension greater" ], "note": { "typesetting": "TeX", "pages": 48, "language": "en", "license": "arXiv", "status": "editable" } } }