{ "id": "math/9904005", "version": "v5", "published": "1999-04-02T11:17:15.000Z", "updated": "2003-11-11T05:36:44.000Z", "title": "On the Q-divisor method and its application", "authors": [ "Meng Chen" ], "comment": "14 pages, ALatex, the final version, accepted for publication by Journal of Pure and Applied Algebra", "categories": [ "math.AG" ], "abstract": "For smooth projective 3-folds of general type, we prove that the relative canonical stability $\\mu_s(3)\\leq 8$. This is induced from our improved result of Koll\\'ar: the m-canonical map of a smooth projective 3-fold of general type is birational whenever $m\\geq 5k+6$, provided $P_k(X)\\geq 2$. The Q-divisor method is intensively developed to prove our results.", "revisions": [ { "version": "v5", "updated": "2003-11-11T05:36:44.000Z" } ], "analyses": { "subjects": [ "14E05" ], "keywords": [ "q-divisor method", "application", "general type", "smooth projective" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......4005C" } } }