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Periods of Hecke Characters
Taschenbuch von Norbert Schappacher
Sprache: Englisch

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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.
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.
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
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9783540189152
ISBN-10: 3540189157
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Schappacher, Norbert
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Maße: 235 x 155 x 11 mm
Von/Mit: Norbert Schappacher
Erscheinungsdatum: 24.02.1988
Gewicht: 0,283 kg
Artikel-ID: 102145668
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
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9783540189152
ISBN-10: 3540189157
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Schappacher, Norbert
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Maße: 235 x 155 x 11 mm
Von/Mit: Norbert Schappacher
Erscheinungsdatum: 24.02.1988
Gewicht: 0,283 kg
Artikel-ID: 102145668
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