On the modular equation for Drinfeld modules of rank 2

DOI10.1016/0022-314X(92)90016-IzbMath0754.11018OpenAlexW2007743833MaRDI QIDQ1198930

Sunghan Bae

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0022-314x(92)90016-i

zbMATH Keywords

complex multiplicationintegrality of the \(j\)-invariantrank 2 Drinfeld modules

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (16)

Drinfeld modular polynomials in higher rank. II: Kronecker congruences ⋮ Drinfeld modular polynomials in higher rank ⋮ On plane models for Drinfeld modular curves ⋮ On the coefficients of the Drinfeld modular equation ⋮ On class number relations and intersections over function fields ⋮ On singular and supersingular invariants of Drinfeld modules ⋮ A transcendence theorem in finite characteristic. ⋮ Some properties of reduced Drinfeld modular polynomials ⋮ On explicit formulas for the modular equation ⋮ Invariants of some algebraic curves related to Drinfeld modular curves ⋮ On the singular values of the Drinfeld modular function \(\mu\) ⋮ On class number relations over function fields ⋮ On the coefficients of modular polynomials for Drinfeld modules ⋮ Rational torsion of generalized Jacobians of modular and Drinfeld modular curves ⋮ Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields ⋮ Heights and isogenies of Drinfeld modules

Cites Work

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• Zur Arithmetik von Drinfeld-Moduln
• On the coefficients of Drinfeld modular forms
• On the singular Drinfeld modules of rank 2
• Good reduction of abelian varieties
• Explicit Class Field Theory for Rational Function Fields

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