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The semi-simple zeta function of quaternionic Shimura varieties

  • Book
  • © 1997

Overview

Authors:
  1. Harry Reimann
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1657)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-VII
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  2. Introduction

    • Harry Reimann
    Pages 1-8

  3. Part I

    • Harry Reimann
    Pages 9-65

  4. Part II

    • Harry Reimann
    Pages 66-88

  5. Back Matter

    Pages 89-144
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: The semi-simple zeta function of quaternionic Shimura varieties

  • Authors: Harry Reimann

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093995

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-62645-9Published: 14 April 1997

  • eBook ISBN: 978-3-540-68414-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 154

  • Topics: Number Theory, Algebraic Geometry

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