Étale covers of affine spaces in positive characteristic
By Kiran S. Kedlaya. 2002
56 citations recorded by the source corpus.
Abstract We prove that every projective, geometrically reduced scheme of dimension n over an infinite field k of positive characteristic admits a finite morphism over some finite radicial extension k′ of k to projective n-space, etale away from the hyperplane H at infinity, which maps a chosen Weil divisor into H and a chosen smooth geometric point of X not on the divisor to some point not in H. To cite this article: K.S. Kedlaya, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 921–926.
Subfields: Applied Mathematics, Geometry and Topology, Rehabilitation
View Paper: https://www.semanticscholar.org/paper/612f9da7fd61b5d33716dab1941caf66c1e9d3ca
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In Applied Mathematics
In Geometry and Topology
- Dino J. Lorenzini
- Ofer Gabber
- Qing Liu
- Peter Scholze
- Michael Stoll
- Matthew Baker
- Bjorn Poonen
- Samir Siksek
Citations in the corpus
- Hypersurfaces in projective schemes and a moving lemma (2014, background): “[38], Lemma 3), the restrictions to X of these sections define a finite morphism r : X → PS.”