ENGLISH

The semi-simple zeta function of quaternionic Shimura varieties

By Harry Reimann (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1997
ISBN
354062645X, 9783540626459
DOI
10.1007/BFb0093995
ISSN
0075-8434
LCC
QA3,QA242.5
Open Library ID
OL22343359M
Language
english
Format
DJVU
Filesize
866 kB (886356 bytes)
Series
Lecture Notes in Mathematics 1657
Edition
1
Pages
154\151
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11
Number Theory; Algebraic Geometry

Description

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.

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