Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8

2002/07/26 by Gunther Cornelissen, Fumiharu Kato, Cornelissen, Gunther +1
Mathematics · #14G22 #14H37 #20E08 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14G22 #msc:14H37 #msc:20E08

paper · pdf · doi:10.48550/arxiv.math/0207246

14 pages, contains three eps-pictures

arxiv created 2002/07/26 · arxiv updated 2009/11/30

Abstract

A Mumford curve of genus g=5,6,7 or 8 over a non-archimedean field of characteristic p (such that if p=0, the residue field characteristic exceeds 5) has at most 12(g-1) automorphisms. In this paper, all curves that attain this bound and their automorphism groups (called of Lame type) are explicitly determined.

Related

• Mumford curves with maximal automorphism group
• Discontinuous groups in positive characteristic and automorphisms of Mumford curves
• Mumford curves and Mumford groups in positive characteristic
• Constraints on the automorphism group of a curve
• A characterization of the Artin-Mumford curve