Belyi's Theorem for Complex Surfaces

Belyi's theorem states that a compact Riemann surface C can be defined over a number field if and only if there is on it a meromorphic function f with three critical values. Such functions (resp. Riemann surfaces) are called Belyi functions (resp. Belyi surfaces). Alternatively Belyi surfaces c...

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Bibliographic Details
Published in:	American journal of mathematics Vol. 130; no. 1; pp. 59 - 74
Main Author:	González-Diez, Gabino
Format:	Journal Article
Language:	English
Published:	Baltimore, MD Johns Hopkins University Press 01.02.2008
Subjects:	Algebra Algebraic geometry Critical points Critical values Exact sciences and technology Functions of a complex variable General mathematics General, history and biography Mathematical analysis Mathematical surfaces Mathematical theorems Mathematics Minimal surfaces Morphisms Pencils Riemann surfaces Sciences and techniques of general use Several complex variables and analytic spaces Modular group Critical value Riemann function Number field Subgroup Two-dimensional calculations Mathematics Free group Riemann surface Torsion Meromorphic function Classical group
ISSN:	0002-9327, 1080-6377, 1080-6377
Online Access:	Get full text
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