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).

Download

Full text not available from this repository.

Description/Abstract

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.

Item Type: Article
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
Date Deposited: 03 May 2007
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/29799

Actions (login required)

View Item View Item