{ "id": "math/0501204", "version": "v1", "published": "2005-01-13T17:08:21.000Z", "updated": "2005-01-13T17:08:21.000Z", "title": "A smooth, complete threefold with no nontrivial nef line bundles", "authors": [ "Sam Payne" ], "comment": "3 pages, 1 figure", "categories": [ "math.AG" ], "abstract": "We present a smooth, complete toric threefold with no nontrivial nef line bundles. This is a counterexample to a recent conjecture of Fujino.", "revisions": [ { "version": "v1", "updated": "2005-01-13T17:08:21.000Z" } ], "analyses": { "subjects": [ "14M25", "14C20" ], "keywords": [ "nontrivial nef line bundles", "complete threefold", "complete toric threefold", "counterexample", "conjecture" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......1204P" } } }