Automorphism groups of hyperelliptic modular curves

DOI10.3792/pjaa.91.95zbMath1343.14023OpenAlexW1604766798MaRDI QIDQ737981

Daeyeol Jeon

Publication date: 12 August 2016

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1435669940

zbMATH Keywords

hyperelliptic curveautomorphism groupmodular curvehyperelliptic involution

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Automorphisms of curves (14H37)

Related Items (1)

Families of elliptic curves over cyclic cubic number fields with prescribed torsion

Cites Work

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• Corps euclidiens, unites exceptionnelles et courbes elliptiques
• Hyperelliptic modular curves
• Equations for the modular curve 𝑋₁(𝑁) and models of elliptic curves with torsion points
• Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields
• The normalizer of γ₁(N) in psl₂(R)
• Constructing elliptic curves over finite fields with prescribed torsion
• Normalizer of \(\Gamma_1(m)\)

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