The semi-simple zeta function of quaternionic Shimura varieties
Author | : Harry Reimann |
Publisher | : Springer |
Total Pages | : 152 |
Release | : 2006-11-14 |
ISBN-10 | : 9783540684145 |
ISBN-13 | : 354068414X |
Rating | : 4/5 (45 Downloads) |
Download or read book The semi-simple zeta function of quaternionic Shimura varieties written by Harry Reimann and published by Springer. This book was released on 2006-11-14 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.