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Bulletin of the London Mathematical Society Advance Access originally published online on April 23, 2008
Bulletin of the London Mathematical Society 2008 40(3):353-362; doi:10.1112/blms/bdn011
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© 2008 London Mathematical Society

On abelian automorphism groups of Mumford curves

Aristides Kontogeorgis

Department of Mathematics
University of the Ægean
83200 Karlovassi
Samos
Greece
kontogar@aegean.gr
http://eloris.samos.aegean.gr

Victor Rotger

Departament de Matemàtica Aplicada IV
Universitat Politècnica de Catalunya
Av. Víctor Balaguer s/n
E-08800 Vilanova i la Geltrú
Spain

Received 19 March 2007. Revision received 7 November 2007.

We use rigid analytic uniformization by Schottky groups to give a bound for the order of the abelian subgroups of the automorphism group of a Mumford curve in terms of its genus.

2000 Mathematics Subject Classification 11G18, 14G35.


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