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/?, where U is simply-connected and ? 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 ? can be chosen to be a lattice. As an application, we give examples of Galois actions on Grothendieck dessins.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1112/S0024609396002834
ISSNs: 0024-6093 (print)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID: 29799
Accepted Date and Publication Date:
Date Deposited: 03 May 2007
Last Modified: 31 Mar 2016 11:55

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