Reduction of the Hurwitz space of metacyclic covers
Reduction of the Hurwitz space of metacyclic covers
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元循环覆盖 Hurwitz 空间的约简
DOI：
10.1215/s0012-7094-04-12113-x
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发表时间：
2002
影响因子：
2.5
通讯作者：
I. Bouw
中科院分区：
文献类型：
--
作者：
I. Bouw
计算了三点分支射影线的若干Galois覆盖的稳定约化。这些覆盖使用Hurwitz空间参数化亚循环覆盖来构造。减少是由一个超几何微分方程。这推广了Deligne-Rapoport关于模曲线X（p）约化的结果.
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 hypergeometric differential equation. This generalizes the result of Deligne- Rapoport on the reduction of the modular curve X(p).