More etale covers of affine spaces in positive characteristic

Kiran S. Kedlaya

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More etale covers of affine spaces in positive characteristic

Kiran S. Kedlaya

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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.

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BibTeX RIS

Kiran S. Kedlaya. 2004-01-27. More etale covers of affine spaces in positive characteristic. https://arxiv.org/abs/math/0303382

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