Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 45, No. 1, pp. 253-265 (2004)
Belyi's theorem revisited
Bernhard KöckFaculty of Mathematical Studies, University of Southampton, Southampton SO17 1BJ, United Kingdom, e-mail: firstname.lastname@example.org.
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.