Periods of Hecke Characters
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...
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| Dil: | Anglais |
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| Seri Bilgileri: | Lecture notes in mathematics
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| Edition sous un autre format: | • Periods of Hecke characters, Norbert Schappacher, 1988, Berlin, Springer-Verlag, 1 volume (XV-160 pages), Lecture notes in mathematics, 3-540-18915-7 • Periods of Hecke Characters, Texte imprimé, 9783662210871 |
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| 100 | 1 | |a Schappacher, Norbert, |d 1950-...., |c Mathématicien. | |
| 245 | 1 | 0 | |a Periods of Hecke Characters |c Norbert Schappacher. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1301 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Formes modulaires | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Opérateurs de Hecke | ||
| 650 | |a Multiplication complexe | ||
| 776 | 0 | |0 020706219 |t Periods of Hecke characters |f Norbert Schappacher |d 1988 |c Berlin |n Springer-Verlag |p 1 volume (XV-160 pages) |s Lecture notes in mathematics |z 3-540-18915-7 | |
| 776 | 0 | |t Periods of Hecke Characters |b Texte imprimé |z 9783662210871 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-VJS7V5HN-7 |z Accès sur la plateforme Istex | |
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