{ "id": "0810.3730", "version": "v1", "published": "2008-10-21T12:16:57.000Z", "updated": "2008-10-21T12:16:57.000Z", "title": "A survey on Cox rings", "authors": [ "Antonio Laface", "Mauricio Velasco" ], "comment": "20 pages, 7 figures", "categories": [ "math.AG", "math.AC" ], "abstract": "We survey the construction of the Cox ring of an algebraic variety X and study the birational geometry of X when its Cox ring is finitely generated.", "revisions": [ { "version": "v1", "updated": "2008-10-21T12:16:57.000Z" } ], "analyses": { "subjects": [ "14C20" ], "keywords": [ "cox ring", "birational geometry", "algebraic variety" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0810.3730L" } } }