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Belyi uniformization of elliptic curves

Record type: Article

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.

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Citation

Singerman, D. and Syddall, R.I. (1997) Belyi uniformization of elliptic curves Bulletin of the London Mathematical Society, 29, (4), pp. 443-451. (doi:10.1112/S0024609396002834).

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Published date: 1997

Identifiers

Local EPrints ID: 29799
URI: http://eprints.soton.ac.uk/id/eprint/29799
ISSN: 0024-6093
PURE UUID: 4d1d0694-2190-40d7-b03c-58b3459fcd2d

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Date deposited: 03 May 2007
Last modified: 17 Jul 2017 15:56

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Author: D. Singerman
Author: R.I. Syddall

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