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The semi-simple zeta function of quaternionic Shimura varieties /

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This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automo...

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Bibliographic Details
Main Author: Reimann, Harry, 1956-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1997]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1657.
Subjects:
Shimura varieties.
L-functions.
Functions, Zeta.
Quaternions.
Shimura, Variétés de.
Fonctions L.
Fonctions zêta.
Shimura variëteiten.
Teoria dos numeros.
Algebra associativa.
Zetafunktion.
Divisionsalgebra.
Quaternion.
Shimura-Mannigfaltigkeit.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. In an appendix a conjecture of Langlands and Rapoport on the reduction of a Shimura variety in a very general case is restated in a slightly stronger form. The reader is expected to be familiar with the basic concepts of algebraic geometry, algebraic number theory and the theory of automorphic representation.
Item Description:Electronic resource.
Physical Description:1 online resource (143 pages) : illustrations.
Bibliography:Includes bibliographical references (pages 136-139) and index.
ISBN:9783540684145 (electronic bk.)
354068414X (electronic bk.)
ISSN:0075-8434 ;