On the rational cuspidal divisor class groups of Drinfeld modular curves \(X_0(\mathfrak{p}^r)\)

DOI10.1142/s1793042124501033MaRDI QIDQ6591609

Sheng-Yang Kevin Ho

Publication date: 22 August 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

modular unitsDrinfeld discriminant functionharmonic cochainsJacobians of Drinfeld modular curves

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

• Unnamed Item
• On the Eisenstein ideal over function fields
• A product expansion for the discriminant function of Drinfeld modules of rank two
• Drinfeld modular curves
• Modular curves and the Eisenstein ideal
• On the \(\mathbb{Q}\)-rational cuspidal subgroup and the component group of \(J_0(p^r)\)
• A note on the finiteness of certain cuspidal divisor class groups
• The rational cuspidal divisor class group of \(X_0(N)\)
• On the torsion of the Mordell-Weil group of the Jacobian of Drinfeld modular curves
• Modulare Einheiten für Funktionenkörper.
• Diophantine equations and modular forms
• ELLIPTIC MODULES
• FUNDAMENTAL DOMAINS OF SOME ARITHMETIC GROUPS OVER FUNCTION FIELDS
• Jacobians of Drinfeld modular curves.
• Invariants of some algebraic curves related to Drinfeld modular curves

Related Items (1)

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

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