Periods of Hecke Characters | Taschenbuch

Cover: 9783540189152 | Periods of Hecke Characters | Norbert Schappacher | Taschenbuch | 1988

Rückseite: 9783540189152 | Periods of Hecke Characters | Norbert Schappacher | Taschenbuch | 1988

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Beschreibung

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 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.

Inhaltsverzeichnis

Algebraic hecke characters.- Motives for algebraic hecke characters.- The periods of algebraic hecke characters.- Elliptic integrals and the gamma function.- Abelian integrals with complex multiplication.- Motives of CM modular forms.

Details

Erscheinungsjahr:	1988
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Lecture Notes in Mathematics
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9783540189152
ISBN-10:	3540189157
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Schappacher, Norbert
Hersteller:	Springer Springer-Verlag GmbH Lecture Notes in Mathematics
Verantwortliche Person für die EU:	Springer Nature Customer Service Center GmbH, Europaplatz 3, D-69115 Heidelberg, productsafety@springernature.com
Maße:	235 x 155 x 11 mm
Von/Mit:	Norbert Schappacher
Erscheinungsdatum:	24.02.1988
Gewicht:	0,283 kg