Periods of Hecke characters /

Periods of Hecke characters /

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Bibliographic Details
Author / Creator:Schappacher, Norbert.
Imprint:Berlin ; New York : Springer-Verlag, ©1988.
Description:1 online resource (xv, 160 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1301
Lecture notes in mathematics (Springer-Verlag) ; 1301.
Subject:
Hecke operators.
Forms, Modular.
Multiplication, Complex.
Forms, Modular.
Hecke operators.
Multiplication, Complex.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11071225
Hidden Bibliographic Details
ISBN:9783540388425
3540388427
9780387189154
0387189157
9783540189152
3540189157
Notes:Includes bibliographical references (pages 148-151) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
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Print version record.
Summary: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.
Other form:Print version: Schappacher, Norbert. Periods of Hecke characters. Berlin ; New York : Springer-Verlag, ©1988 3540189157

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