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the semi-simple zeta function of quaternionic shimura varieties
Reimann (Author)
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· Physical Book
the semi-simple zeta function of quaternionic shimura varieties - reimann
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Synopsis "the semi-simple zeta function of quaternionic shimura varieties"
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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