Lefschetz properties for noncompact arithmetic ball quotients

We prove a Lefschetz property for restriction of the cohomology of noncompact congruence ball quotients to ball quotients of smaller dimension, and a Lefschetz property for the cohomology of smooth compactifications of such ball quotients.

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Veröffentlicht in:Journal für die reine und angewandte Mathematik 2017-09, Vol.2017 (730), p.163-198
1. Verfasser: Nair, Arvind N.
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description We prove a Lefschetz property for restriction of the cohomology of noncompact congruence ball quotients to ball quotients of smaller dimension, and a Lefschetz property for the cohomology of smooth compactifications of such ball quotients.
doi_str_mv 10.1515/crelle-2014-0131
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title Lefschetz properties for noncompact arithmetic ball quotients
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