The semi-simple zeta function of quaternionic Shimura varieties

DOI10.1007/BFb0093995zbMath1009.11044OpenAlexW1530939748MaRDI QIDQ1355926

Harry Reimann

Publication date: 29 May 1997

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0093995

zbMATH Keywords

automorphic representationsShimura varietyHasse-Weil zeta-functionsemisimple local \(L\)-functionssemisimple local zeta-function

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular and Shimura varieties (14G35)

Related Items (11)

Galois representations, Mumford-Tate groups and good reduction of Abelian varieties ⋮ Algebraic curves uniformized by congruence subgroups of triangle groups ⋮ ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION ⋮ Hodge classes and the Jacquet–Langlands correspondence ⋮ Good reductions of Shimura varieties of Hodge type in arbitrary unramified mixed characteristic. Part I ⋮ Points on Shimura varieties modulo primes ⋮ Non-solvable base change for Hilbert modular representations and zeta functions of twisted quaternionic Shimura varieties ⋮ Mod $p$ points on Shimura varieties of abelian type ⋮ On Mumford's families of Abelian varieties ⋮ Asymptotics of Shimura varieties ⋮ ON THE -ADIC COHOMOLOGY OF SOME -ADICALLY UNIFORMIZED SHIMURA VARIETIES

This page was built for publication: The semi-simple zeta function of quaternionic Shimura varieties