Mumford curves with maximal automorphism group

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

paper · pdf · doi:10.48550/arxiv.math/0207245

5 pages, amsart-style

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

Abstract

The maximal number of automorphisms of a Mumford curve over a non-archimedean valued field of positive characteristic is known. In this note, the unique family of curves that attains this bound in genus not equal to 5,6,7 or 8 is explicitly determined, as is its automorphism group.

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