{ "id": "1108.4603", "version": "v2", "published": "2011-08-23T14:00:15.000Z", "updated": "2012-11-23T15:27:06.000Z", "title": "Note on K-stability of pairs", "authors": [ "Song Sun" ], "comment": "13 pages. Fixed typos. To appear in Math. Annalen", "journal": "Math. Ann. (2013) 355, 259--272", "categories": [ "math.DG" ], "abstract": "We prove that a pair (X, D) with X Fano and D a smooth anti-canonical divisor is K-unstable for negative angles, and K-semistable for zero angle.", "revisions": [ { "version": "v2", "updated": "2012-11-23T15:27:06.000Z" } ], "analyses": { "keywords": [ "k-stability", "zero angle", "smooth anti-canonical divisor" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1108.4603S" } } }