{ "id": "1005.0614", "version": "v3", "published": "2010-05-04T19:43:49.000Z", "updated": "2012-07-17T14:55:25.000Z", "title": "New outlook on the Minimal Model Program, II", "authors": [ "Alessio Corti", "Vladimir Lazić" ], "comment": "to appear in Math. Ann", "journal": "Math. Ann. 356 (2013), no. 2, 617-633", "doi": "10.1007/s00208-012-0858-1", "categories": [ "math.AG" ], "abstract": "We prove that the finite generation of adjoint rings proved in [Cascini and Lazi\\'c] implies all the foundational results of the Minimal Model Program: the Rationality, Cone and Contraction theorems, the existence of flips, and termination of flips with scaling in the presence of a big boundary.", "revisions": [ { "version": "v3", "updated": "2012-07-17T14:55:25.000Z" } ], "analyses": { "subjects": [ "14E30" ], "keywords": [ "minimal model program", "adjoint rings", "big boundary", "foundational results", "contraction theorems" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1005.0614C" } } }