{ "id": "2004.08850", "version": "v1", "published": "2020-04-19T13:29:08.000Z", "updated": "2020-04-19T13:29:08.000Z", "title": "On unramified Brauer groups of torsors over tori", "authors": [ "Eva Bayer-Fluckiger", "Raman Parimala" ], "categories": [ "math.AG", "math.NT" ], "abstract": "In this paper we introduce a method to obtain algebraic information using arithmetic one in the study of tori and their principal homogeneous spaces. In particular, using some results of the authors with Tingyu Lee, we determine the unramified Brauer groups of some norm one tori, and their torsors.", "revisions": [ { "version": "v1", "updated": "2020-04-19T13:29:08.000Z" } ], "analyses": { "keywords": [ "unramified brauer groups", "algebraic information", "principal homogeneous spaces", "tingyu lee", "arithmetic" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }