{ "id": "0712.0444", "version": "v3", "published": "2007-12-04T09:18:30.000Z", "updated": "2010-02-25T07:13:30.000Z", "title": "Projective normality of nonsingular toric varieties of dimension three", "authors": [ "Shoetsu Ogata" ], "comment": "36pages, 17figures", "journal": "Tohoku Math. J. 64 (2012), 125--140", "categories": [ "math.AG", "math.CO" ], "abstract": "We show that if an ample line bundle L on a nonsingular toric 3-fold satisfies h^0(L+2K)=0, then L is normally generated. As an application, we show that the anti-canonical divisor on a nonsingular toric Fano 4-fold is normally generated.", "revisions": [ { "version": "v3", "updated": "2010-02-25T07:13:30.000Z" } ], "analyses": { "subjects": [ "14M25", "52B20" ], "keywords": [ "nonsingular toric varieties", "projective normality", "ample line bundle", "nonsingular toric fano" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.0444O" } } }