Belyi uniformization of elliptic curves
Singerman, D. and Syddall, R.I. (1997) Belyi uniformization of elliptic curves. Bulletin of the London Mathematical Society, 29, (4), 443-451. (doi:10.1112/S0024609396002834).
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Belyi's Theorem implies that a Riemann surface X represents a curve defined over a number field if and only if it can be expressed as U/Γ, where U is simply-connected and Γ is a subgroup of finite index in a triangle group. We consider the case when X has genus 1, and ask for which curves and number fields Γ can be chosen to be a lattice. As an application, we give examples of Galois actions on Grothendieck dessins.
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
|Date Deposited:||03 May 2007|
|Last Modified:||01 Jun 2011 16:33|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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