Correspondences for Hecke rings and \(\ell\)-adic cohomology groups on smooth compactifications of Siegel modular varieties

DOI10.3792/pjaa.65.62zbMath0689.10040OpenAlexW2022638954MaRDI QIDQ1264175

Kazuyuki Hatada

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.62

zbMATH Keywords

coincidence numberHecke operatorsPoincaré dualitytoroidal compactificationintersection formulasHecke correspondences\(\ell \)-adic cohomology theoryLefschetz traceSiegel moduli space

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Discontinuous groups and automorphic forms (11F99) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20)

Related Items (3)

Hecke correspondence and Betti cohomology groups for smooth compactifications of Hilbert modular varieties of dimension \(\leq 3\) ⋮ On the local zeta functions of the Hilbert modular schemes ⋮ Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms

Cites Work

• Correspondences for Hecke rings and (co-)homology groups on smooth compactifications of Siegel modular varieties
• Toroidal compactification of Siegel spaces
• Siegel cusp forms as holomorphic differential forms on certain compact varieties
• A new compactification of the Siegel space and degeneration of Abelian varieties. II
• On elliptic modular surfaces
• ON MODULAR CORRESPONDENCES FOR SP(N, Z ) AND THEIR CONGRUENCE RELATIONS
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