{ "id": "math/0401244", "version": "v1", "published": "2004-01-19T22:38:50.000Z", "updated": "2004-01-19T22:38:50.000Z", "title": "Base locus of linear systems on the blowing-up of P^3 along at most 8 general points", "authors": [ "Cindy De Volder", "Antonio Laface" ], "comment": "16 pages, LaTeX", "categories": [ "math.AG" ], "abstract": "Consider a (non-empty) linear system of surfaces of degree d in P^3 through at most 8 multiple points in general position and let L denote the corresponding complete linear system on the blowing-up X of P^3 along those general points. Then we determine the base locus of such linear systems L on X.", "revisions": [ { "version": "v1", "updated": "2004-01-19T22:38:50.000Z" } ], "analyses": { "subjects": [ "14C20" ], "keywords": [ "general points", "base locus", "blowing-up", "corresponding complete linear system", "multiple points" ], "note": { "typesetting": "LaTeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......1244D" } } }