{ "id": "1506.04372", "version": "v1", "published": "2015-06-14T10:02:37.000Z", "updated": "2015-06-14T10:02:37.000Z", "title": "A note on k-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces", "authors": [ "Lucja Farnik" ], "comment": "9 pages", "categories": [ "math.AG" ], "abstract": "We study k-very ampleness of line bundles on blow-ups of hyperelliptic surfaces at r very general points. We obtain a numerical condition on the number of points for which a line bundle on the blow-up of a hyperelliptic surface at these r points gives an embedding of order k.", "revisions": [ { "version": "v1", "updated": "2015-06-14T10:02:37.000Z" } ], "analyses": { "subjects": [ "14C20", "14E25" ], "keywords": [ "line bundle", "hyperelliptic surface", "general blow-ups", "study k-very ampleness", "general points" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150604372F" } } }