Three point covers with bad reduction

2002/05/02 by Stefan Wewers, Wewers, Stefan
Computer Science · Engineering · Mathematics · #14H30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #graph theory and CDMA systems #math.AG #math.NT #msc:14H30

paper · pdf · doi:10.48550/arxiv.math/0205026

37 pages

openalex publication_date 2002/05/02 · arxiv created 2003/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Galois covers of the projective line branched at three points with bad reduction to characteristic p, under the condition that p exactly divides the order of the Galois group. As an application of our results, we prove that the field of moduli of such a cover is at most tamely ramified at p.

Citations

• The deformation theory of local complete intersections

Related

• The fields of definition of branched Galois covers of the projective line
• Reduction and lifting of special metacyclic covers
• Reduction of covers and Hurwitz spaces
• Number fields with discriminant +-2^a 3^b: Examples from three point covers
• Field of moduli and field of definition of Galois covers