{ "id": "1712.08258", "version": "v1", "published": "2017-12-22T00:27:58.000Z", "updated": "2017-12-22T00:27:58.000Z", "title": "Finite collineation groups and birational rigidity", "authors": [ "Ivan Cheltsov", "Constantin Shramov" ], "comment": "54 pages", "categories": [ "math.AG" ], "abstract": "We classify finite groups $G$ in $\\mathrm{PGL}_{4}(\\mathbb{C})$ such that $\\mathbb{P}^3$ is $G$-birationally rigid.", "revisions": [ { "version": "v1", "updated": "2017-12-22T00:27:58.000Z" } ], "analyses": { "subjects": [ "14E07", "14J45", "14E30" ], "keywords": [ "finite collineation groups", "birational rigidity", "classify finite groups" ], "note": { "typesetting": "TeX", "pages": 54, "language": "en", "license": "arXiv", "status": "editable" } } }