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- catalog abstract "The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply.".
- catalog contributor b2067717.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [148]-151.".
- catalog description "Contents: Algebraic Hecke Characters -- Motives for Algebraic Hecke Characters -- The Periods of Algebraic Hecke Characters -- Elliptic Integrals and the gamma Function -- Abelian Integrals with Complex Multiplication -- Motives of CM Modular Forms -- References -- Alphabetical List of Symbols and Concepts.".
- catalog description "The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply.".
- catalog extent "xv, 160 p. ;".
- catalog hasFormat "Periods of Hecke characters.".
- catalog identifier "0387189157 (U.S.)".
- catalog identifier "3540189157".
- catalog isFormatOf "Periods of Hecke characters.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1301.".
- catalog isPartOf "Lecture notes in mathematics ; 1301".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Periods of Hecke characters.".
- catalog subject "Forms, Modular.".
- catalog subject "Hecke operators.".
- catalog subject "Mathematics.".
- catalog subject "Multiplication, Complex.".
- catalog subject "Number theory.".
- catalog subject "QA3 .L28 no. 1301".
- catalog tableOfContents "Contents: Algebraic Hecke Characters -- Motives for Algebraic Hecke Characters -- The Periods of Algebraic Hecke Characters -- Elliptic Integrals and the gamma Function -- Abelian Integrals with Complex Multiplication -- Motives of CM Modular Forms -- References -- Alphabetical List of Symbols and Concepts.".
- catalog title "Periods of Hecke characters / Norbert Schappacher.".
- catalog type "text".