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

Gunther Cornelissen·Fumiharu Kato
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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.

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Gunther Cornelissen, Fumiharu Kato. 2002-07-26. Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8. https://arxiv.org/abs/math/0207246

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