Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 45, No. 1, pp. 253-265 (2004)

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Belyi's theorem revisited

Bernhard Köck

Faculty of Mathematical Studies, University of Southampton, Southampton SO17 1BJ, United Kingdom, e-mail:

Abstract: We give an elementary, self-contained and quick proof of Belyi's theorem. As a by-product of our proof we obtain an explicit bound for the degree of the defining number field of a Belyi surface.

Keywords: Moduli field; field of definition; Galois descent

Classification (MSC2000): 14H30, 14H25, 12F10

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Electronic version published on: 5 Mar 2004. This page was last modified: 4 May 2006.

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