Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary

DOI10.1007/BF01231562zbMath0860.11031MaRDI QIDQ1320049

Steven Zucker, Michael Harris

Publication date: 12 January 1997

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144189

zbMATH Keywords

parabolic subgroupsShimura varietyHodge structuretoroidal compactificationboundary cohomologycohomology sequencenerve spectral sequence

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items

Geometry of compactifications of locally symmetric spaces, On the rigid cohomology of certain Shimura varieties, Hodge modules on Shimura varieties and their higher direct images in the Baily–Borel compactification, Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety, Ghost classes in \({\mathbb{Q}} \)-rank two orthogonal Shimura varieties, Ghost classes in the cohomology of the Shimura variety associated to $GSp_4$, On the boundary and intersection motives of genus 2 Hilbert-Siegel varieties, METRIC COMPACTIFICATIONS OF LOCALLY SYMMETRIC SPACES, Hodge modules on Shimura varieties, and their degeneration in the Baily-Borel compactification

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