Correspondences for Hecke rings and (co-)homology groups on smooth compactifications of Siegel modular varieties

DOI10.3836/TJM/1270133003zbMath0716.11021OpenAlexW2024682824MaRDI QIDQ752743

Kazuyuki Hatada

Publication date: 1990

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

Full work available at URL: https://doi.org/10.3836/tjm/1270133003

zbMATH Keywords

Hecke ringétale topologyLefschetz fixed point theory\(\ell \)-adic cohomologysmooth compactification of the Siegel modular variety

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Étale and other Grothendieck topologies and (co)homologies (14F20) (p)-adic theory, local fields (11F85) Fixed points and coincidences in algebraic topology (55M20)

Related Items (3)

Hecke correspondence and Betti cohomology groups for smooth compactifications of Hilbert modular varieties of dimension \(\leq 3\) ⋮ Correspondences for Hecke rings and \(\ell\)-adic cohomology groups on smooth compactifications of Siegel modular varieties ⋮ On the local zeta functions of the Hilbert modular schemes

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