{ "id": "2101.09811", "version": "v1", "published": "2021-01-24T21:56:47.000Z", "updated": "2021-01-24T21:56:47.000Z", "title": "Recent developments in the theory of linear algebraic groups: Good reduction and finiteness properties", "authors": [ "Andrei S. Rapinchuk", "Igor A. Rapinchuk" ], "comment": "To appear in the Notices of the AMS. arXiv admin note: text overlap with arXiv:2005.05484", "categories": [ "math.NT", "math.AG", "math.GR" ], "abstract": "This is a survey article on some recent developments in the arithmetic theory of linear algebraic groups over higher-dimensional fields, written for the Notices of the AMS.", "revisions": [ { "version": "v1", "updated": "2021-01-24T21:56:47.000Z" } ], "analyses": { "keywords": [ "linear algebraic groups", "finiteness properties", "developments", "higher-dimensional fields", "survey article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }