Fields of moduli of three-point G-covers with cyclic p-Sylow, I

Details Fields of moduli of three-point G-covers with cyclic p-Sylow, I Fields of moduli of three-point G-covers with cyclic p-Sylow, I

2009-11-05

arxiv.org/abs/0911.1103v5

Mathematics

Algebraic Geometry

Major reorganization. In particular, the former Appendix C has been spun off and is now arxiv:1109.4776. Now 42 pages

Scientific paper

We examine in detail the stable reduction of Galois covers of the projective line over a complete discrete valuation field of mixed characteristic (0, p), where G has a cyclic p-Sylow subgroup of order p^n. If G is further assumed to be p-solvable (i.e., G has no nonabelian simple composition factors with order divisible by p), we obtain the following consequence: Suppose f: Y --> P^1 is a three-point G-Galois cover defined over the complex numbers. Then the nth higher ramification groups above p for the upper numbering of the (Galois closure of the) extension K/Q vanish, where K is the field of moduli of f. This extends work of Beckmann and Wewers. Additionally, we completely describe the stable model of a general three-point Z/p^n-cover, where p > 2.

Affiliated with

Also associated with

No associations

Rating

Fields of moduli of three-point G-covers with cyclic p-Sylow, I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fields of moduli of three-point G-covers with cyclic p-Sylow, I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fields of moduli of three-point G-covers with cyclic p-Sylow, I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418907