{ "id": "0705.2714", "version": "v1", "published": "2007-05-18T15:00:44.000Z", "updated": "2007-05-18T15:00:44.000Z", "title": "Log Fano varieties over function fields of curves", "authors": [ "Brendan Hassett", "Yuri Tschinkel" ], "comment": "18 pages", "doi": "10.1007/s00222-008-0113-2", "categories": [ "math.AG", "math.NT" ], "abstract": "Consider a smooth log Fano variety over the function field of a curve. Suppose that the boundary has positive normal bundle. Choose an integral model over the curve. Then integral points are Zariski dense, after removing an explicit finite set of points on the base curve.", "revisions": [ { "version": "v1", "updated": "2007-05-18T15:00:44.000Z" } ], "analyses": { "subjects": [ "14M20", "14D15", "14G25" ], "keywords": [ "function field", "smooth log fano variety", "explicit finite set", "zariski dense", "positive normal bundle" ], "tags": [ "journal article" ], "publication": { "journal": "Inventiones Mathematicae", "year": 2008, "month": "Feb", "volume": 173, "number": 1, "pages": 7 }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008InMat.173....7H" } } }