{ "id": "1908.02526", "version": "v1", "published": "2019-08-07T10:50:49.000Z", "updated": "2019-08-07T10:50:49.000Z", "title": "Brauer-Manin obstruction for Erdős-Straus surfaces", "authors": [ "Martin Bright", "Daniel Loughran" ], "comment": "16 pages", "categories": [ "math.NT", "math.AG" ], "abstract": "We study the failure of the integral Hasse principle and strong approximation for the Erd\\H{o}s-Straus conjecture using the Brauer-Manin obstruction.", "revisions": [ { "version": "v1", "updated": "2019-08-07T10:50:49.000Z" } ], "analyses": { "subjects": [ "14G05", "11D68", "11D25", "14F22" ], "keywords": [ "brauer-manin obstruction", "erdős-straus surfaces", "integral hasse principle", "strong approximation" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }