Periods of Hecke Characters
Norbert Schappacher
ISBN 10: 3540189157 ISBN 13: 9783540189152
Verlag: Springer Berlin Heidelberg, 1988
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Beschreibung
Beschreibung:
Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 betw. Bestandsnummer des Verkäufers 4883948
Inhaltsangabe:
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.
Über die Autorin bzw. den Autor: Norbert Schappacher is professor emeritus of mathematics at the University of Strasbourg, France. After decades of research in Arithmetic Algebraic Geometry he turned to the history of science, esp. 19th and 20th century. He is particularly interested in interactions between science and politics; several of his papers deal with mathematics in Germany under the Nazis. From 2008 to 2016 he was the managing editor of Revue d'histoire des mathématiques, Paris.
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Bibliografische Details
Titel: Periods of Hecke Characters
Verlag: Springer Berlin Heidelberg
Erscheinungsdatum: 1988
Einband: Softcover
Zustand: New