Hyperbolic uniformization of Fermat curves
type: Item
instance of: scholarly article
title: Hyperbolic uniformization of Fermat curves
zbMATH Open document ID: 1142.11043
author: Pilar Bayer
author: Jordi Guárdia
published in: The Ramanujan Journal
publication date: 2007-01-29T00:00:00Z
review text: Apart a reference and a word, I cite directly the authors' abstract : The ground-breaking research on the uniformization of curves was conducted at the beginning of the last century. Nevertheless, there are few examples in the literature of algebraic curves for which an explicit uniformization is known. In this article the authors obtain an explicit uniformization of the Fermat curves \(F_N\), for each \(N\geq 4\). The results presented here are based in part on an earlier study of the second author in which each Riemann surface \(F_N(\mathbb C)\) was described as a quotient of the complex disk by a Fuschian group \(\Gamma\).
reviewed by: Alain Kraus
Mathematics Subject Classification ID: 11G30
Mathematics Subject Classification ID: 11F06
zbMATH DE Number: 5119608
zbMATH Keywords: hyperbolic uniformization
zbMATH Keywords: fundamental domains
zbMATH Keywords: Fermat curves
MaRDI profile type: Publication
full work available at URL: s11139-006-0074-2
OpenAlex ID: W1975077584
cites work: Quaternion Orders, Quadratic Forms, and Shimura Curves
cites work: Uniformization of certain Shimura curves
cites work: Q4002564
cites work: A fundamental domain for the Fermat curves and their quotients
cites work: The jacobian of a cyclic quotient of a fermat curve
cites work: Q3658118
cites work: On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
cites work: Q5568135
cites work: Q4045253
cites work: Q5815016
cites work: Q5582459
DOI: 10.1007/S11139-006-0074-2
description: scientific article; zbMATH DE number 5119608