More etale covers of affine spaces in positive characteristic
Algebraic Geometry
2007-05-23 v3
Abstract
We 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.
Cite
@article{arxiv.math/0303382,
title = {More etale covers of affine spaces in positive characteristic},
author = {Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:math/0303382},
year = {2007}
}
Comments
6 pages, AMSTeX; v3: some errors fixed; to appear in J. Algebraic Geometry