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The Semi-Simple Zeta Function of Quaternionic Shimura Varieties

The Semi-Simple Zeta Function of Quaternionic Shimura Varieties

Paperback

Series: Lecture Notes in Mathematics, Book 1657

General MathematicsGeometry

ISBN10: 354062645X
ISBN13: 9783540626459
Publisher: Springer Nature
Published: Apr 14 1997
Pages: 154
Weight: 0.53
Height: 0.35 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics