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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Original Publication URL: http://dx.doi.org/10.1112/S0024609396002834
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 |
| Item ID: | 29799 |
| Date Deposited: | 03 May 2007 |
| Last Modified: | 01 Jun 2011 16:33 |
| Contributors: | Singerman, D. (Author) Syddall, R.I. (Author) |
| Date: | 1997 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29799 |
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