Cohomology of the Satake compactification

DOI10.1016/0040-9383(83)90034-4zbMath0562.32017OpenAlexW1983625050MaRDI QIDQ2266797

Ronnie Lee, Ruth M. Charney

Publication date: 1983

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(83)90034-4

zbMATH Keywords

rational homologycoarse moduli space of principally polarized abelian varietiesSatake compactification of the quotient of the Siegel upper half-spaceTits-building

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Algebraic moduli of abelian varieties, classification (14K10) General binary quadratic forms (11E16) Automorphic functions in symmetric domains (32N15)

Related Items (8)

Stable cohomology of the perfect cone toroidal compactification of \(\mathcal{A}_g\) ⋮ The intersection cohomology of the Satake compactification of \(\mathcal {A}_g\) for \(g \leq 4\) ⋮ Topological methods in moduli theory ⋮ On the top-weight rational cohomology of \(\mathcal{A}_g\) ⋮ The reductive Borel-Serre compactification as a model for unstable algebraic K-theory ⋮ Lifting Chern classes by means of Ekedahl-Oort strata ⋮ Goresky–Pardon lifts of Chern classes and associated Tate extensions ⋮ The stable cohomology of the Satake compactification of \(\mathcal A_g\)

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