The stable cohomology of the Satake compactification of \(\mathcal A_g\)

DOI10.2140/gt.2017.21.2231zbMath1387.14074arXiv1508.05600OpenAlexW2282072021MaRDI QIDQ2356963

Jiaming Chen, Eduard Looijenga

Publication date: 7 June 2017

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05600

zbMATH Keywords

stable cohomologymixed Hodge structureSatake compactification

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Modular and Shimura varieties (14G35) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

Related Items (2)

On the top-weight rational cohomology of \(\mathcal{A}_g\) ⋮ Goresky–Pardon lifts of Chern classes and associated Tate extensions

Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Chern classes of automorphic vector bundles.
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Cohomology of the Satake compactification
• Théorie de Hodge. III
• Discrete automorphism groups of convex cones of finite type
• Stable real cohomology of arithmetic groups
• Goresky–Pardon lifts of Chern classes and associated Tate extensions

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