{ "id": "0907.5215", "version": "v3", "published": "2009-07-30T17:27:44.000Z", "updated": "2011-09-16T11:10:25.000Z", "title": "Weighted Bergman kernels on orbifolds", "authors": [ "J. Ross", "R. P. Thomas" ], "comment": "24 pages, Published verson: corrections made and references added", "journal": "Journal of Differential Geometry (88) 2011 p.87-108", "categories": [ "math.AG", "math.CV" ], "abstract": "We describe a notion of ampleness for line bundles on orbifolds with cyclic quotient singularities that is related to embeddings in weighted projective space, and prove a global asymptotic expansion for a weighted Bergman kernel associated to such a line bundle.", "revisions": [ { "version": "v3", "updated": "2011-09-16T11:10:25.000Z" } ], "analyses": { "subjects": [ "32A25" ], "keywords": [ "line bundle", "cyclic quotient singularities", "global asymptotic expansion", "weighted projective space", "embeddings" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0907.5215R" } } }