The University of Southampton
University of Southampton Institutional Repository

Belyi's theorem revisited

Belyi's theorem revisited
Belyi's theorem revisited
We give an elementary, self-contained and quick proof of Belyi's theorem. As a by-product of our proof we obtain an explicit bound for the degree of the defining number field of a Belyi surface.
moduli field, field of definition, galois descent
0138-4821
253-265
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9

Koeck, Bernhard (2004) Belyi's theorem revisited. Beiträge zur Algebra und Geometrie, 45 (1), 253-265.

Record type: Article

Abstract

We give an elementary, self-contained and quick proof of Belyi's theorem. As a by-product of our proof we obtain an explicit bound for the degree of the defining number field of a Belyi surface.

Text
b45h1koe.pdf - Version of Record
Download (196kB)

More information

Published date: 2004
Keywords: moduli field, field of definition, galois descent

Identifiers

Local EPrints ID: 29785
URI: http://eprints.soton.ac.uk/id/eprint/29785
ISSN: 0138-4821
PURE UUID: fdaecffa-4b34-4ea2-98ba-c20fab8cc5f4
ORCID for Bernhard Koeck: ORCID iD orcid.org/0000-0001-6943-7874

Catalogue record

Date deposited: 15 May 2006
Last modified: 16 Mar 2024 03:22

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×