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Lecture Notes in Mathematics

Periods of Hecke Characters

Authors: Schappacher, Norbert

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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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $29.99
price for USA in USD (gross)
  • ISBN 978-3-540-38842-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA in USD
  • ISBN 978-3-540-18915-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Periods of Hecke Characters
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1301
Copyright
1988
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-38842-5
DOI
10.1007/BFb0082094
Softcover ISBN
978-3-540-18915-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVIII, 162
Topics

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