vix.ing · top · new · best · stats · spec

Reduction and lifting of special metacyclic covers

2001/05/07 by Stefan Wewers, Wewers, Stefan
Chemistry · Mathematics · Medicine · #14G32 #14H30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Axial and Atropisomeric Chirality Synthesis #Cancer Treatment and Pharmacology #FOS: Mathematics #math.AG #msc:14G32 #msc:14H30

paper · pdf · doi:10.48550/arxiv.math/0105052

22 pages, 1 figure

arxiv created 2001/05/07 · openalex publication_date 2001/05/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Special covers are metacyclic covers of the projective line, with Galois group of order pm, which have a specific type of bad reduction to characteristic p. Such covers arise in the study of the arithmetic of Galois covers of the projective line with three branch points. Our results provide a classification of all special covers in terms of certain lifting data in characteristic p.

Related