{ "id": "2104.02286", "version": "v1", "published": "2021-04-06T04:58:14.000Z", "updated": "2021-04-06T04:58:14.000Z", "title": "The Brauer group of a valuation ring", "authors": [ "Vivek Sadhu" ], "categories": [ "math.AG" ], "abstract": "Let $V$ be a valuation ring and $K$ be its field of fraction. We show that the canonical map $\\Br(V) \\to \\Br(K)$ is injective.", "revisions": [ { "version": "v1", "updated": "2021-04-06T04:58:14.000Z" } ], "analyses": { "keywords": [ "brauer group", "valuation ring" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }