Der Definitionskörper für den Zerfall einer abelschen Varietät mit komplexer Multiplikation

DOI10.1007/BF01457997zbMath0474.14026OpenAlexW2316106819MaRDI QIDQ1159248

Claus Günther Schmidt

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163489

zbMATH Keywords

abelian variety of CM-typeclassfield theoryisogenous decomposition of abelian varietyJacobian variety of Fermat curvesmallest field of definition

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Arithmetic ground fields for abelian varieties (14K15) Complex multiplication and abelian varieties (14K22) Totally real fields (11R80)

Related Items (1)

The jacobian of a cyclic quotient of a fermat curve

Cites Work

• Unnamed Item
• Unnamed Item
• On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
• Gamma function identities and elliptic differentials on Fermat curves
• Endomorphisms of Abelian varieties over finite fields
• On the zeta-function of an abelian variety with complex multiplication
• Jacobi Sums as "Grossencharaktere"

This page was built for publication: Der Definitionskörper für den Zerfall einer abelschen Varietät mit komplexer Multiplikation