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Summary of Periods of Hecke Characters by Norbert Schappacher PDF
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.
Detail About Periods of Hecke Characters PDF
- Author : Norbert Schappacher
- Publisher : Springer
- Genre : Mathematics
- Total Pages : 175 pages
- ISBN : 3540388427
- Release Date : 14 November 2006
- PDF File Size : 11,6 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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