Proceedings of the National Academy of Sciences · 1987 · 53 citations · 19 references
Natural SciencesMathematicsAlgebraGeometryTopologyAlgebraic GeometryArithmetic GeometryCohomology TheoryHomological AlgebraBorel CohomologyGroup CompactificationsIntersectionIntersection CohomologySheaf Cohomology
The L(2)-cohomology of arithmetic quotients of bounded symmetric domains is studied. We establish the conjecture of Zucker equating the L(2)-cohomology of these spaces to the intersection cohomology of their Baily-Borel compactifications.
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Mark Goresky, Robert Macpherson · Topology · 1980 · 708 citations
Armand Borel, J-P. Serre · Commentarii Mathematici Helvetici · 1973 · 659 citations