15 January 2004 Reduction of the Hurwitz space of metacyclic covers
Irene I. Bouw
Duke Math. J. 121(1): 75-111 (15 January 2004). DOI: 10.1215/S0012-7094-04-12113-X

Abstract

We compute the stable reduction of some Galois covers of the projective line branched at three points. These covers are constructed using Hurwitz spaces parameterizing metacyclic covers. The reduction is determined by a certain hypergeometric differential equation. This generalizes the result of Deligne and Rapoport on the reduction of the modular curve $X(p)$.

Citation

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Irene I. Bouw. "Reduction of the Hurwitz space of metacyclic covers." Duke Math. J. 121 (1) 75 - 111, 15 January 2004. https://doi.org/10.1215/S0012-7094-04-12113-X

Information

Published: 15 January 2004
First available in Project Euclid: 21 December 2003

zbMATH: 1056.14037
MathSciNet: MR2031166
Digital Object Identifier: 10.1215/S0012-7094-04-12113-X

Subjects:
Primary: 14H30 14G32

Rights: Copyright © 2004 Duke University Press

Vol.121 • No. 1 • 15 January 2004
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