UID:
edoccha_9959185947602883
Format:
1 online resource (XVIII, 162 p.)
Edition:
1st ed. 1988.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-38842-7
Series Statement:
Lecture Notes in Mathematics, 1301
Content:
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.
Note:
Bibliographic Level Mode of Issuance: Monograph
,
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.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-18915-7
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0082094
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