Trigonal modular curves \(X_0^{+d}(N)\)
type: Item
instance of: scholarly article
title: Trigonal modular curves \(X_0^{+d}(N)\)
zbMATH Open document ID: 0963.11031
author: Yuji Hasegawa
author: Mahoro Shimura
published in: Proceedings of the Japan Academy. Series A
publication date: 2001-06-24T00:00:00Z
review text: The curve \(X_0^{+d}(N)\) is the quotient of the modular curve \(X_0(N)\) by the (not necessarily full) Atkin-Lehner involution \(W_d\) for \(d \parallel N\). The authors determine which of these curves is trigonal, i.e., admits a morphism of degree 3 to the projective line. The arguments are similar to those applied for \(d=1\) by the authors in [Acta Arith. 88, No. 2, 129-140 (1999; Zbl 0947.11018)].
reviewed by: Gunther Cornelissen
Mathematics Subject Classification ID: 11G18
Mathematics Subject Classification ID: 14H51
zbMATH DE Number: 1443393
zbMATH Keywords: modular curve
zbMATH Keywords: Atkin-Lehner involution
zbMATH Keywords: gonality
MaRDI profile type: Publication
full work available at URL: pjaa.75.172
OpenAlex ID: W4246950180
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DOI: 10.3792/PJAA.75.172
description: scientific article; zbMATH DE number 1443393