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

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

2002-07-26

arxiv.org/abs/math/0207246v1

Mathematics

Algebraic Geometry

14 pages, contains three eps-pictures

Scientific paper

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.

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