# 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 |
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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 |

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