Lecture Notes in Mathematics

Reimann, Harry

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.

Details

Published by: Springer

Publication Date: 1997-04-14

Format: Paperback

ISBN-13: 9783540626459

DOI: 10.1007/BFb0093995

Dimensions: 235cm x155cm

Pages: 154