{ "id": "2110.03793", "version": "v2", "published": "2021-10-07T21:07:43.000Z", "updated": "2022-08-18T15:50:49.000Z", "title": "Weak approximation for certain quadric surface bundles", "authors": [ "Nick Rome" ], "comment": "15 pages. Comments very welcome. Newest version substantially revised: the full Brauer group is now explicitly computed", "categories": [ "math.AG", "math.NT" ], "abstract": "We investigate weak approximation for a class of biquadratic fourfolds inside $\\mathbb{P}^3 \\times \\mathbb{P}^2$, some of which appear in the recent work of Hassett--Pirutka--Tschinkel.", "revisions": [ { "version": "v2", "updated": "2022-08-18T15:50:49.000Z" } ], "analyses": { "subjects": [ "14G12", "14F22", "11R44" ], "keywords": [ "quadric surface bundles", "weak approximation", "biquadratic fourfolds inside", "hassett-pirutka-tschinkel" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }