Global construction of associated orders in complex multiplication

DOI10.1016/j.jnt.2004.10.010zbMath1087.11069OpenAlexW1989917095MaRDI QIDQ2568208

Reinhard Schertz

Publication date: 10 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.10.010

zbMATH Keywords

elliptic curvesray class fieldsGalois module structure

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Cites Work

• Unnamed Item
• Zur expliziten Berechnung von Ganzheitsbasen in Strahlklassenkörpern über einem imaginär-quadratischen Zahlkörper. (On the explicit calculation of integral bases in ray class fields over an imaginary quadratic number field)
• Elliptic curves with complex multiplication and Galois module structure
• Mordell-Weil groups and the Galois module structure of rings of integers
• Galoismodulstruktur und elliptische Funktionen. (Galois module structure and elliptic functions)
• An elliptic resolvent
• Construction of integral bases in abelian field extensions of imaginary quadratic number fields
• Lower powers of elliptic units
• Konstruktion von Potenzganzheitsbasen in Strahlklassenkörpern über imaginär-quadratischen Zahlkörpern.

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