Etale covers of affine spaces in positive characteristic

Details Etale covers of affine spaces in positive characteristic Etale covers of affine spaces in positive characteristic

2002-07-18

arxiv.org/abs/math/0207150v1

preprint; published version: C.R. Acad. Sci. Paris 335 (2002), 921--926.

Mathematics

Algebraic Geometry

8 pages; uses AMSLaTeX

Scientific paper

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.

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