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The Quarterly Journal of Mathematics Advance Access originally published online on June 4, 2007
The Quarterly Journal of Mathematics 2007 58(4):463-478; doi:10.1093/qmath/ham017
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© 2007. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

REAL BELYI THEORY

Bernhard Köck{dagger}

David Singerman {ddagger}

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

{dagger} Corresponding author. E-mail: b.koeck{at}soton.ac.uk


  Abstract

We develop a Belyi-type theory that applies to Klein surfaces, that is, (possibly non-orientable) surfaces with boundary which carry a dianalytic structure. In particular, we extend Belyi's famous theorem from Riemann surfaces to Klein surfaces.

{ddagger} E-mail: ds{at}maths.soton.ac.uk


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