Arithmetik Abelscher Varietäten mit komplexer Multiplikation

zbMath0567.14022MaRDI QIDQ1059687

Claus Günther Schmidt

Publication date: 1984

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Jacobi sumsGrössencharacters\(\mathbb Q\)-varietiesarithmetic of CM-fieldsCM-varietiesIwasawa theorem on annihilation of class groupJacobian of the Fermat-curve

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Complex multiplication and moduli of abelian varieties (11G15) Algebraic moduli of abelian varieties, classification (14K10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Arithmetic ground fields for abelian varieties (14K15) Complex multiplication and abelian varieties (14K22)

Related Items (7)

Periods and special values of the hypergeometric series ⋮ Hasse-Witt matrices for the Fermat curves of prime degree ⋮ A remark on a result of Iwasawa on Hecke characters of type A₀ ⋮ Selmer varieties for curves with CM Jacobians ⋮ The Hodge conjecture for the Jacobian varieties of generalized Catalan curves ⋮ Superelliptic curves with many automorphisms and CM Jacobians ⋮ Die stabile Reduktion der Fermatkurve über einem Zahlkörper. (The stable reduction of the Fermat curve over a number field)

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