Download E-books The semi-simple zeta function of quaternionic Shimura varieties (Lecture Notes in Mathematics) PDF

By Harry Reimann

This monograph is anxious with the Shimura sort hooked up to a quaternion algebra over a wholly genuine quantity box. For anyplace of excellent (or reasonably undesirable) relief, the corresponding (semi-simple) neighborhood zeta functionality is expressed by way of (semi-simple) neighborhood L-functions connected to automorphic representations. In an appendix a conjecture of Langlands and Rapoport at the aid of a Shimura sort in a truly common case is restated in a marginally superior shape. The reader is predicted to be conversant in the elemental techniques of algebraic geometry, algebraic quantity concept and the idea of automorphic illustration.

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