Restriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety.

DOI10.1215/S0012-7094-98-09502-3zbMath1037.11504OpenAlexW1602982396MaRDI QIDQ1974864

Tyakal Nanjundiah Venkataramana, Laurent Clozel

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09502-3

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other groups and their modular and automorphic forms (several variables) (11F55) Classical real and complex (co)homology in algebraic geometry (14F25) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (5)

Lefschetz properties for noncompact arithmetic ball quotients ⋮ Geometric cycles, arithmetic groups and their cohomology ⋮ Algebraic cycles on Shimura varieties of orthogonal type ⋮ Restriction of the cohomology of a Shimura variety to its subvarieties ⋮ Spectrum and homology of congruence complex hyperbolic manifolds

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