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L(2)-cohomology of arithmetic varieties

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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Veröffentlicht in:Proc Natl Acad Sci U S A
Hauptverfasser: Saper, Leslie, Stern, Mark
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1987
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Online-Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC298893/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593866/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.84.16.5516
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