Automorphism Groups of Shimura Varieties and Reciprocity Laws

DOI10.2307/2374252zbMath0475.14022OpenAlexW2332128799MaRDI QIDQ3931539

Kuang-yen Shih, James S. Milne

Publication date: 1981

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374252

zbMATH Keywords

automorphism groupShimura varietiesLanglands conjectureaction on arithmetic automorphic functions

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Arithmetic aspects of modular and Shimura varieties (11G18) Classical groups (algebro-geometric aspects) (14L35) Modular and Shimura varieties (14G35) Langlands-Weil conjectures, nonabelian class field theory (11R39) Automorphic functions in symmetric domains (32N15)

Related Items (4)

On Bost-Connes type systems and complex multiplication ⋮ The Iwasawa \(\mu \)-invariant of \(p\)-adic Hecke \(L\)-functions ⋮ Irreducibility of the Igusa tower ⋮ On the theory of Hilbert modular functions. I: Arithmetic groups and Eisenstein series

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