{ "id": "math/0211423", "version": "v1", "published": "2002-11-27T16:34:09.000Z", "updated": "2002-11-27T16:34:09.000Z", "title": "Strong resolution of singularities in characteristic zero", "authors": [ "S. Encinas", "H. Hauser" ], "comment": "plain tex file. 20 pages", "journal": "Comment. Math. Helv. 77 (2002) 821-845", "categories": [ "math.AG" ], "abstract": "We present a concise proof for the existence and construction of a {\\it strong resolution of excellent schemes} of finite type over a field of characteristic zero. Our proof is based on earlier work of Villamayor, Encinas-Villamayor and Bierstone-Milman. It apports some substantial simplifications which may be helpful for a better understanding of how to prove Hironaka's famous theorem.", "revisions": [ { "version": "v1", "updated": "2002-11-27T16:34:09.000Z" } ], "analyses": { "subjects": [ "14E15", "14B05", "32S05", "32S10", "32S45" ], "keywords": [ "characteristic zero", "strong resolution", "singularities", "hironakas famous theorem", "excellent schemes" ], "tags": [ "journal article" ], "note": { "typesetting": "Plain TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....11423E" } } }