Unifying themes suggested by Belyi’s Theorem
Identifieur interne : 000113 ( Main/Exploration ); précédent : 000112; suivant : 000114Unifying themes suggested by Belyi’s Theorem
Auteurs : Wushi Goldring [États-Unis]Source :
Abstract
Abstract: Belyi’s Theorem states that every curve defined over the field of algebraic numbers admits a map to the projective line with at most three branch points. This paper describes a unifying framework, reaching across several different areas of mathematics, inside which Belyi’s Theorem can be understood. The paper explains connections between Belyi’s Theorem and (1) The arithmetic and modularity of elliptic curves, (2) abc-type problems and (3) moduli spaces of pointed curves.
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DOI: 10.1007/978-1-4614-1260-1_10
Affiliations:
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