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Etale covers of affine spaces in positive characteristic

Kiran S. Kedlaya
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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.

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Kiran S. Kedlaya. 2002-07-18. Etale covers of affine spaces in positive characteristic. https://arxiv.org/abs/math/0207150

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