Abstract
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.
Funding statement: The first version of this paper was written in 2007 and it was revised while the author was supported by a Swarnajayanti Fellowship (DST/SF/05/2006).
Acknowledgements
I thank Najmuddin Fakhruddin and T. N. Venkataramana for helpful conversations. I thank the referee for suggestions which have greatly helped to improve the exposition and clarify some arguments, and led me to improve the results.
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Articles in the same Issue
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- Commuting-liftable subgroups of Galois groups II
- The hyperbolicity of the sphere complex via surgery paths
- Lefschetz properties for noncompact arithmetic ball quotients
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Articles in the same Issue
- Frontmatter
- Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality
- Commuting-liftable subgroups of Galois groups II
- The hyperbolicity of the sphere complex via surgery paths
- Lefschetz properties for noncompact arithmetic ball quotients
- Plünnecke inequalities for countable abelian groups
- Minimal resolutions, Chow forms and Ulrich bundles on K3 surfaces
- On deformations of ℚ-Fano threefolds II
- K-theoretic duality for hyperbolic dynamical systems