More etale covers of affine spaces in positive characteristic

dc.creatorKedlaya, Kiran S.
dc.date2003-03-31
dc.date2004-01-27
dc.date.accessioned2026-07-07T06:31:13Z
dc.date.available2026-07-07T06:31:13Z
dc.descriptionWe prove that every geometrically reduced projective variety of pure 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 some chosen smooth points not on the divisor to points not in H. This improves our earlier result in math.AG/0207150, which was restricted to infinite perfect fields. We also prove a related result that controls the behavior of divisors through the chosen point.
dc.description6 pages, AMSTeX; v3: some errors fixed; to appear in J. Algebraic Geometry
dc.identifierhttps://arxiv.org/abs/math/0303382
dc.identifierhttp://arxiv.org/abs/math/0303382
dc.identifierpreprint; published version: J. Alg. Geom. 14 (2005), 187-192.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98545
dc.subjectAlgebraic Geometry
dc.subject14E20; 14B25
dc.titleMore etale covers of affine spaces in positive characteristic
dc.typetext

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