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Reduction of p-cyclic covers of the projective line

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Abstract:

Let R be a complete mixed characteristic p discrete valuation ring with field of fractions K. In this paper we consider the reduction of p-cyclic covers of the projective K line. Making certain assumptions on the branch locus we obtain a criterion for good reduction as well as an explicit description of the semi-stable reduction of such a cover.

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Authors and Affiliations

  1. University of Pennsylvania, Department of Mathematics, 209 South 33rd Street, Philadelphia, PA 19104, USA. e-mail: cglehr@math.upenn.edu, , , , , , US

    Claus Lehr

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  1. Claus Lehr
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Received: 22 December 2000 / Revised version: 16 May 2001

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Lehr, C. Reduction of p-cyclic covers of the projective line. manuscripta math. 106, 151–175 (2001). https://doi.org/10.1007/s002290100190

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  • DOI: https://doi.org/10.1007/s002290100190

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