The semi-simple zeta function of quaternionic Shimura varieties
Reimann, Harry.
The semi-simple zeta function of quaternionic Shimura varieties [electronic resource] / by Harry Reimann. - X, 154 p. online resource. - Lecture Notes in Mathematics, 1657 0075-8434 ; . - Lecture Notes in Mathematics, 1657 .
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.
9783540684145
10.1007/BFb0093995 doi
Number theory.
Geometry, algebraic.
Number Theory.
Algebraic Geometry.
QA241-247.5
512.7
The semi-simple zeta function of quaternionic Shimura varieties [electronic resource] / by Harry Reimann. - X, 154 p. online resource. - Lecture Notes in Mathematics, 1657 0075-8434 ; . - Lecture Notes in Mathematics, 1657 .
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.
9783540684145
10.1007/BFb0093995 doi
Number theory.
Geometry, algebraic.
Number Theory.
Algebraic Geometry.
QA241-247.5
512.7