{ "id": "1804.05768", "version": "v1", "published": "2018-04-16T16:15:29.000Z", "updated": "2018-04-16T16:15:29.000Z", "title": "The density of fibres with a rational point for a fibration over hypersurfaces of low degree", "authors": [ "Efthymios Sofos", "Erik Visse" ], "categories": [ "math.NT" ], "abstract": "We prove asymptotics for the proportion of fibres with a rational point in a conic bundle fibration. The basis of the fibration is a general hypersurface of low degree.", "revisions": [ { "version": "v1", "updated": "2018-04-16T16:15:29.000Z" } ], "analyses": { "subjects": [ "14G05", "14D06", "11P55", "14D10" ], "keywords": [ "rational point", "low degree", "conic bundle fibration", "general hypersurface" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }