English

Etale covers of affine spaces in positive characteristic

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0207150,
  title  = {Etale covers of affine spaces in positive characteristic},
  author = {Kiran S. Kedlaya},
  journal= {arXiv preprint arXiv:math/0207150},
  year   = {2007}
}

Comments

8 pages; uses AMSLaTeX