Residual finiteness of extensions of arithmetic subgroups of \(\mathrm{SU}(d,1)\) with cusps

DOI10.1007/s12215-022-00793-0zbMath1517.11030arXiv2203.14793MaRDI QIDQ6104184

Richard M. Hill

Publication date: 28 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14793

zbMATH Keywords

cohomologyarithmetic groupresidual finitenessball quotient

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Residual properties and generalizations; residually finite groups (20E26) Cohomology of arithmetic groups (11F75)

Cites Work

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• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Eisensteinkohomologie für Gruppen vom Typ \(GU(2,1)\). (Eisenstein cohomology for groups of type \(GU(2,1)\))
• Automorphic forms and the periods of abelian varieties
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Residually finite lattices in \(\widetilde{\mathrm{PU}(2,1)}\) and fundamental groups of smooth projective surfaces
• Residual finiteness for central extensions of lattices in \(\mathrm{PU}(n,1)\) and negatively curved projective varieties
• Modular forms on \(\mathrm{SU}(2,1)\) with weight \(\frac{1}{3}\)
• Cusp and b_1 growth for ball quotients and maps onto Z with finitely generated kernel
• Effective results for complex hyperbolic manifolds
• Algebraic Cohomology of Topological Groups

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