Periods of Hecke characters

Norbert Schappacher

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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[目次]

  • 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.

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この本の情報

書名 Periods of Hecke characters
著作者等 Dold, A.
Eckmann, B.
Schappacher, Norbert
シリーズ名 Lecture notes in mathematics
出版元 Springer-Verlag
刊行年月 c1988
ページ数 xv, 160 p.
大きさ 25 cm
ISBN 0387189157
3540189157
NCID BA03506804
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言語 英語
出版国 ドイツ
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