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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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Periods of Hecke characters. Lecture notes in mathematics, vol. 1301
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Periods of Hecke Characters (Lecture Notes in Mathematics, 1301)
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Periods of Hecke Characters
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 180 pp. Englisch. Seller Inventory # 9783540189152
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Periods of Hecke Characters (Lecture Notes in Mathematics, 1301)
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Periods of Hecke Characters (Lecture Notes in Mathematics, 1301, Band 1301)
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Periods of Hecke Characters (Lecture Notes in Mathematics)
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Periods of Hecke Characters
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Condition: New. 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. Seller Inventory # 4883948
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Periods of Hecke Characters
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 180 pp. Englisch. Seller Inventory # 9783540189152