The semi-simple zeta function of quaternionic Shimura varieties (Lecture Notes in Mathematics, 1657)

Reimann, Harry

ISBN 10: 354062645X / ISBN 13: 9783540626459

Verlag: Springer, 1997

Beschreibung

Bestandsnummer des Verkäufers I-9783540626459

Bibliografische Details

• Titel: The semi-simple zeta function of quaternionic Shimura varieties (Lecture Notes in Mathematics, 1657)
• Verlag: Springer
• Erscheinungsjahr: 1997
• Sprache: Englisch
• ISBN-10: 354062645X
• ISBN-13: 9783540626459
• Einband: Softcover
• Zustand: New

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Inhaltsangabe

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.