Relative Galois module structure of rings of integers and elliptic functions. II

DOI10.2307/1971208zbMath0594.12008OpenAlexW2326198826MaRDI QIDQ1076724

Martin J. Taylor

Publication date: 1985

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971208

zbMATH Keywords

elliptic functionmaximal orderring of algebraic integersray class fieldGalois module generators

Mathematics Subject Classification ID

Galois theory (11R32) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Elliptic functions and integrals (33E05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (8)

Normal basis and Greenberg's conjecture ⋮ Un élément de Stickelberger quadratique. (A quadratic Stickelberger element) ⋮ On some arithmetic properties of Siegel functions (II) ⋮ Construction of normal bases by special values of Hilbert modular functions ⋮ Normal bases of ray class fields over imaginary quadratic fields ⋮ Elliptic curves with complex multiplication and Galois module structure ⋮ On torsion line bundles and torsion points on Abelian varieties ⋮ NORMAL BASES FOR MODULAR FUNCTION FIELDS

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