The semi-simple zeta function of quaternionic Shimura varieties / by Harry Reimann.

Format:

Book

Author/Creator:

Reimann, Harry, 1956- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1657.

Lecture Notes in Mathematics, 0075-8434 ; 1657

Language:

English

Subjects (All):

Number theory.

Geometry, Algebraic.

Number Theory.

Algebraic Geometry.

Local Subjects:

Number Theory.

Algebraic Geometry.

Physical Description:

1 online resource (X, 154 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.

System Details:

text file PDF

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.

Other Format:

Printed edition:

ISBN:

9783540684145

Access Restriction:

Restricted for use by site license.