The semi-simple zeta function of quaternionic Shimura varieties
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Bibliographic Information
The semi-simple zeta function of quaternionic Shimura varieties
（Lecture notes in mathematics, 1657）
Springer-Verlag, c1997
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1657RM970507
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Note
Includes bibliographical references (p. 136-139), and symbol and subject indexes
Description and Table of Contents
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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