The semi-simple zeta function of quaternionic Shimura varieties [electronic resource] /

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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Bibliographic Details
Main Authors: Reimann, Harry. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997
Subjects:Mathematics., Algebraic geometry., Number theory., Number Theory., Algebraic Geometry.,
Online Access:http://dx.doi.org/10.1007/BFb0093995
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