{ "id": "math/0403124", "version": "v2", "published": "2004-03-08T07:16:26.000Z", "updated": "2004-03-09T15:36:34.000Z", "title": "Divisorial contractions of algebraic varieties", "authors": [ "Sergey A. Kudryavtsev" ], "categories": [ "math.AG" ], "abstract": "This paper has been withdrawn by the author. It is not true that plt blow-up of toric singularity is toric (in dimension 3 too) and the first main theorem is incorrect also. The error is in deformation argument. I am grateful to Ivan Cheltsov for discussions.", "revisions": [ { "version": "v2", "updated": "2004-03-09T15:36:34.000Z" } ], "analyses": { "keywords": [ "algebraic varieties", "divisorial contractions", "first main theorem", "ivan cheltsov", "plt blow-up" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }