Periods of Hecke characters. Lecture notes in mathematics, vol. 1301

Schappacher, Norbert:

ISBN 10: 3540189157 / ISBN 13: 9783540189152

Published by Springer, 1988

About this Item

XV, 160 S. : graph. Darst. Das hier angebotene Buch stammt aus einer teilaufgelösten Bibliothek und kann die entsprechenden Kennzeichnungen aufweisen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 315.

Seller Inventory # 2208341

Bibliographic Details

• Title: Periods of Hecke characters. Lecture notes in mathematics, vol. 1301
• Publisher: Springer
• Publication Date: 1988
• Language: English
• ISBN 10: 3540189157
• ISBN 13: 9783540189152
• Binding: Broschiert
• Condition: Gut
• Weight: 315 grams
• Seller catalogs:
  • 200 Mathematik

About this title

Synopsis

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.