Items related to Periods of Hecke Characters (Lecture Notes in Mathematics)
Synopsis
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.
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- PublisherSpringer-Verlag
- Publication date1988
- ISBN 10 0387189157
- ISBN 13 9780387189154
- BindingPaperback
- LanguageEnglish
- Number of pages160
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Periods of Hecke Characters (Lecture Notes in Mathematics)
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