{ "id": "0805.1211", "version": "v1", "published": "2008-05-08T18:34:07.000Z", "updated": "2008-05-08T18:34:07.000Z", "title": "Fake weighted projective spaces", "authors": [ "Weronika Buczynska" ], "comment": "20 pages, master thesis defended at Warsaw University in June 2002", "categories": [ "math.AG" ], "abstract": "We define fake weighted projective spaces as a generalisation of weighted projective spaces. We introduce the notions of fundamental group in codimension 1 and of universal covering in codimension 1. We prove that for every fake weighted projective space its universal cover in codimension 1 is a weighted projective space.", "revisions": [ { "version": "v1", "updated": "2008-05-08T18:34:07.000Z" } ], "analyses": { "subjects": [ "14M25", "14F35", "14L30" ], "keywords": [ "universal cover", "define fake weighted projective spaces", "codimension", "fundamental group", "generalisation" ], "tags": [ "dissertation" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0805.1211B" } } }