{ "id": "1106.3430", "version": "v2", "published": "2011-06-17T09:54:34.000Z", "updated": "2013-07-15T16:42:44.000Z", "title": "Bridgeland Stability conditions on threefolds II: An application to Fujita's conjecture", "authors": [ "Arend Bayer", "Aaron Bertram", "Emanuele Macri", "Yukinobu Toda" ], "comment": "17 pages. v2: exposition improved based on referee's comments. To appear in Journal of Algebraic Geometry", "categories": [ "math.AG" ], "abstract": "We apply a conjectured inequality on third chern classes of stable two-term complexes on threefolds to Fujita's conjecture. More precisely, the inequality is shown to imply a Reider-type theorem in dimension three which in turn implies that K_X + 6L is very ample when L is ample, and that 5L is very ample when K_X is trivial.", "revisions": [ { "version": "v2", "updated": "2013-07-15T16:42:44.000Z" } ], "analyses": { "subjects": [ "14F05", "14C20", "14J30", "14J32", "18E30" ], "keywords": [ "bridgeland stability conditions", "fujitas conjecture", "threefolds", "application", "third chern classes" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1106.3430B" } } }