The rational torsion subgroup of \(J_0(\mathfrak{p}^r)\)

DOI10.1007/S40687-024-00474-7MaRDI QIDQ6629657

Sheng-Yang Kevin Ho

Publication date: 30 October 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular forms associated to Drinfel'd modules (11F52) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Modular and Shimura varieties (14G35)

Cites Work

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• The Eisenstein ideal and Jacquet-Langlands isogeny over function fields
• On the Eisenstein ideal over function fields
• Drinfeld modular curves
• Modular curves and the Eisenstein ideal
• A note on the finiteness of certain cuspidal divisor class groups
• Improper Eisenstein series on Bruhat-Tits trees
• The rational cuspidal divisor class group of \(X_0(N)\)
• The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains
• On the torsion of the Mordell-Weil group of the Jacobian of Drinfeld modular curves
• Diophantine equations and modular forms
• ELLIPTIC MODULES
• Jacobians of Drinfeld modular curves.
• Invariants of some algebraic curves related to Drinfeld modular curves
• The rational torsion subgroup of \(J_0(N)\)
• On the rational cuspidal divisor class groups of Drinfeld modular curves \(X_0(\mathfrak{p}^r)\)

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