Elliptic functions and rings or integers

zbMath0608.12013MaRDI QIDQ1086289

Martin J. Taylor, Philippe Cassou-Noguès

Publication date: 1987

Published in: Progress in Mathematics (Search for Journal in Brave)

zbMATH Keywords

modular functionsformal groupscomplex multiplicationelliptic functionsGalois module structureabelian extensionscyclotomic fieldsrings of algebraic integersclass field theoryautomorphic functionsabelian resolventsKroneckers Jugendtraum

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Modular and automorphic functions (11F03) Complex multiplication and moduli of abelian varieties (11G15) Class field theory (11R37) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Formal groups, (p)-divisible groups (14L05) Elliptic functions and integrals (33E05)

Related Items (21)

Problèmes de construction en multiplication complexe ⋮ Normal integral bases in Kummer extensions of prime degree ⋮ A family of monogenic \(S_4\) quartic fields arising from elliptic curves ⋮ Monogénéité de l'anneau des entiers de certains corps de classes de rayon. (Monogeneity of the ring of integers of certain ray class fields) ⋮ Relative integral normal bases in \({\mathbb{Q}}(\zeta_ p)\) ⋮ Un élément de Stickelberger quadratique. (A quadratic Stickelberger element) ⋮ Modules de Swan et courbes elliptiques à multiplication complexe ⋮ Monogénéité de l'anneau des entiers de corps de classes de rayon de corps quadratiques ⋮ Carlitz modules and Galois module structure. II ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ Swan modules and Hilbert-Speiser number fields ⋮ Galoismodulstruktur und elliptische Funktionen. (Galois module structure and elliptic functions) ⋮ Lubin-Tate formal groups and module structure over Hopf orders ⋮ On Taylor's conjecture for Kummer orders ⋮ Logarithms of theta functions on the upper half space ⋮ Non-monogenic division fields of elliptic curves ⋮ Étude de la courbe elliptique $y^2 = 4x^3 - 27 ((3 + \sqrt{-19})/2)^2$ et monogénéité de certains anneaux d'entiers ⋮ An elliptic resolvent ⋮ Iwasawa theory of elliptic curves and Galois module structure ⋮ Factorisability and wildly ramified Galois extensions ⋮ Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases)

This page was built for publication: Elliptic functions and rings or integers