{ "id": "math/0204213", "version": "v1", "published": "2002-04-17T09:58:49.000Z", "updated": "2002-04-17T09:58:49.000Z", "title": "On unirationality of double covers of fixed degree and large dimension; a method of Ciliberto", "authors": [ "Alberto Conte", "Marina Marchisio", "Jacob P. Murre" ], "comment": "15 pages", "categories": [ "math.AG" ], "abstract": "Following an idea of Ciliberto we show that double covers of projective r-space branched over an hypersurface of degree 2d are unirational provided r is sufficiently big with respect to d.", "revisions": [ { "version": "v1", "updated": "2002-04-17T09:58:49.000Z" } ], "analyses": { "subjects": [ "14E08", "14J40" ], "keywords": [ "double covers", "large dimension", "fixed degree", "unirationality", "degree 2d" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......4213C" } } }