{ "id": "math/0204259", "version": "v1", "published": "2002-04-22T16:36:20.000Z", "updated": "2002-04-22T16:36:20.000Z", "title": "On the Hilbert scheme of Palatini threefolds", "authors": [ "Maria Lucia Fania", "Emilia Mezzetti" ], "comment": "To be published in Advances in Geometry", "categories": [ "math.AG" ], "abstract": "We study the Hilbert scheme of Palatini threefolds X in P^5. We prove that such a scheme has an irreducible component containing X which is birational to the Grassmannian G(3,14) and we determine the exceptional locus of the birational map.", "revisions": [ { "version": "v1", "updated": "2002-04-22T16:36:20.000Z" } ], "analyses": { "subjects": [ "14J30", "14M07", "14N25", "14N30" ], "keywords": [ "palatini threefolds", "hilbert scheme", "exceptional locus", "birational map" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......4259F" } } }