Periods of Hecke characters

Resource Information

The work Periods of Hecke characters represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Periods of Hecke characters

Statement of responsibility

Norbert Schappacher

Creator

• Schappacher, Norbert

Subject

• Forms, Modular
• Forms, Modular
• Forms, Modular
• Größencharakter
• Hecke operators
• Hecke operators
• Hecke operators
• Hecke, Opérateurs de
• Motiv
• Multiplication complexe
• Multiplication, Complex
• Multiplication, Complex
• Multiplication, Complex
• Nombres algébriques, Théorie des
• Periode
• Formes modulaires

Language

eng

Summary

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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1301

Action

digitized

Cataloging source

SPLNM

Dewey number

• 510 s
• 512/.73

Index

index present

LC call number

• QA3
• QA243

LC item number

.L28 no. 1301

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

1301