The semi-simple zeta function of quaternionic Shimura varieties

von Harry Reimann

154 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540626459
• Sprache: Englisch
• Erscheinungsdatum: 14.04.1997
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin