{ "id": "math/9811083", "version": "v1", "published": "1998-11-12T14:16:22.000Z", "updated": "1998-11-12T14:16:22.000Z", "title": "Linear systems representing threefolds which are scrolls on a rational surface", "authors": [ "Emilia Mezzetti", "Dario Portelli" ], "comment": "14 pages, Plain-TeX, to be published in Collectanea Mathematica", "categories": [ "math.AG" ], "abstract": "Let X be a scroll over a rational surface. We construct a linear system of surfaces in P^3 yielding a birational map from P^3 to X. We apply this construction to the scrolls of Bordiga and Palatini.", "revisions": [ { "version": "v1", "updated": "1998-11-12T14:16:22.000Z" } ], "analyses": { "subjects": [ "14C20", "14J30", "14M07", "14M20" ], "keywords": [ "linear systems representing threefolds", "rational surface", "birational map", "construction" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math.....11083M" } } }