{ "id": "math/0411522", "version": "v3", "published": "2004-11-23T19:55:53.000Z", "updated": "2005-11-24T15:22:19.000Z", "title": "Blowing up and desingularizing constant scalar curvature Kähler manifolds", "authors": [ "Claudio Arezzo", "Frank Pacard" ], "comment": "Greatly revised version. 43 pages", "categories": [ "math.DG", "math.AP" ], "abstract": "This paper is concerned with the existence of constant scalar curvature Kaehler metrics on blow ups at finitely many points of compact manifolds which already carry constant scalar curvature Kaehler metrics. We also consider the desingularization of isolated quotient singularities of compact orbifolds which already carry constant scalar curvature Kaehler metrics.", "revisions": [ { "version": "v3", "updated": "2005-11-24T15:22:19.000Z" } ], "analyses": { "subjects": [ "58E11", "32C17" ], "keywords": [ "constant scalar curvature kähler manifolds", "desingularizing constant scalar curvature kähler", "constant scalar curvature kaehler metrics" ], "note": { "typesetting": "TeX", "pages": 43, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11522A" } } }