{ "id": "math/0306058", "version": "v2", "published": "2003-06-03T09:37:11.000Z", "updated": "2003-12-02T12:03:41.000Z", "title": "Projective normality of abelian surfaces of type (1,2d)", "authors": [ "Luis Fuentes Garcia" ], "comment": "14 pages", "categories": [ "math.AG" ], "abstract": "We show that an abelian surface embedded in P^N by a very ample line bundle L of type (1,2d) is projectively normal if and only if d>=4. This completes the study of the projective normality of abelian surfaces embedded by complete linear systems.", "revisions": [ { "version": "v2", "updated": "2003-12-02T12:03:41.000Z" } ], "analyses": { "subjects": [ "14K05", "14N05", "14E20" ], "keywords": [ "projective normality", "ample line bundle", "complete linear systems", "projectively normal", "abelian surfaces" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......6058F" } } }