On the local zeta function of quaternionic Shimura varieties with bad reduction

DOI10.1007/BF01458535zbMath0617.14017MaRDI QIDQ1821833

Michael Rapoport

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164346

zbMATH Keywords

automorphic L- functionslocal factorpurity of the monodromy filtrationsemi-simple local zeta functionShimura variety associated to an indefinite quaternion algebra over a totally real field

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Local ground fields in algebraic geometry (14G20) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (4)

ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION ⋮ ON THE -ADIC COHOMOLOGY OF SOME -ADICALLY UNIFORMIZED SHIMURA VARIETIES ⋮ On the local zeta function of quaternionic Shimura varieties with bad reduction ⋮ On the slope stratification of certain Shimura varieties

Cites Work

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