{ "id": "math/0207150", "version": "v1", "published": "2002-07-18T02:36:17.000Z", "updated": "2002-07-18T02:36:17.000Z", "title": "Etale covers of affine spaces in positive characteristic", "authors": [ "Kiran S. Kedlaya" ], "comment": "8 pages; uses AMSLaTeX", "journal": "preprint; published version: C.R. Acad. Sci. Paris 335 (2002), 921--926.", "categories": [ "math.AG" ], "abstract": "We prove that every projective variety of dimension n over a field of positive characteristic admits a morphism to projective n-space, etale away from the hyperplane H at infinity, which maps a chosen divisor into H and a chosen smooth point not on the divisor to some point not in H.", "revisions": [ { "version": "v1", "updated": "2002-07-18T02:36:17.000Z" } ], "analyses": { "subjects": [ "14E20", "14B25" ], "keywords": [ "affine spaces", "etale covers", "chosen smooth point", "positive characteristic admits", "chosen divisor" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......7150K" } } }