Conductors of wildly ramified covers, III

被引:4
|
作者
Pries, RJ [1 ]
机构
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
关键词
D O I
10.2140/pjm.2003.211.163
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Consider a wildly ramified G-Galois cover of curves phi : Y --> X branched at only one point over an algebraically closed field k of characteristic p. In this paper, given G such that the Sylow p-subgroups of G have order p, I show it is possible to deform phi to increase the conductor at a wild rami. cation point. As a result, I prove that all sufficiently large conductors occur for covers lambda : Y --> P-k(1) branched at only one point with inertia Z/p. For the proof, I show there exists such a cover with small conductor under an additional hypothesis on G and then use deformation and formal patching to transform this cover.
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页码:163 / 182
页数:20
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