Periods of Hecke Characters (Lecture Notes in Mathematics, 1301, Band 1301) - Softcover

Schappacher, Norbert

 
9783540189152: Periods of Hecke Characters (Lecture Notes in Mathematics, 1301, Band 1301)
Softcover
ISBN 10: 3540189157 ISBN 13: 9783540189152
Verlag: Springer Berlin Heidelberg, 2008

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.

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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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Verlag
Springer Berlin Heidelberg
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540189157
ISBN 13 
9783540189152
Einband
Taschenbuch
Anzahl der Seiten
180
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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9780387189154: Periods of Hecke Characters (Lecture Notes in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387189157 ISBN 13:  9780387189154
Verlag: Springer Verlag, 1988
Softcover