Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0207246,
title = {Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8},
author = {Gunther Cornelissen and Fumiharu Kato},
journal= {arXiv preprint arXiv:math/0207246},
year = {2007}
}
Comments
14 pages, contains three eps-pictures