{ "id": "2107.04820", "version": "v1", "published": "2021-07-10T11:41:48.000Z", "updated": "2021-07-10T11:41:48.000Z", "title": "On K-stability for Fano threefolds of rank 3 and degree 28", "authors": [ "Kento Fujita" ], "comment": "120 pages", "categories": [ "math.AG", "math.DG" ], "abstract": "We show that there exists a K-stable smooth Fano threefold of the Picard rank 3, the anti-canonical degree 28 and the third Betti number 2.", "revisions": [ { "version": "v1", "updated": "2021-07-10T11:41:48.000Z" } ], "analyses": { "subjects": [ "14J45", "14L24" ], "keywords": [ "k-stability", "k-stable smooth fano threefold", "third betti number", "picard rank", "anti-canonical degree" ], "note": { "typesetting": "TeX", "pages": 120, "language": "en", "license": "arXiv", "status": "editable" } } }