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The Quarterly Journal of Mathematics Advance Access published online on December 12, 2008
The Quarterly Journal of Mathematics, doi:10.1093/qmath/han034
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© The author 2008. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

A NOTE ON BELYI'S THEOREM FOR KLEIN SURFACES

Bernhard Köck{dagger}

School of Mathematics, University of Southampton, Southampton SO17 1BJ, UK

Eike Lau {ddagger}

Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany

{dagger} Corresponding author. E-mail: B.Koeck{at}soton.ac.uk

Received 16 September 2008;
  Abstract

Singerman and the first named author have recently developed a real Belyi theory, leaving open a particular case in the proof of Belyi's theorem for Klein surfaces. We answer their question affirmatively by a descent argument which turns out to extend to a much more general context.

{ddagger} E-mail; lau{at}math.uni-bielefeld.de


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