Cusp and b_1 growth for ball quotients and maps onto Z with finitely generated kernel

DOI10.1512/iumj.2021.70.8191OpenAlexW3134954285MaRDI QIDQ4994359

Matthew Stover

Publication date: 17 June 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06126

zbMATH Keywords

Betti numbercongruence arithmetic lattices

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (7)

Congruence RFRS towers ⋮ Bielliptic ball quotient compactifications and lattices in \(\operatorname{PU}(2,1)\) with finitely generated commutator subgroup ⋮ Residual finiteness of extensions of arithmetic subgroups of \(\mathrm{SU}(d,1)\) with cusps ⋮ Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices ⋮ Algebraic fibrations of certain hyperbolic 4-manifolds ⋮ Residually finite lattices in \(\widetilde{\mathrm{PU}(2,1)}\) and fundamental groups of smooth projective surfaces ⋮ VIRTUAL ALGEBRAIC FIBRATIONS OF KÄHLER GROUPS

Cites Work

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• New non-arithmetic complex hyperbolic lattices
• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Arithmeticity of complex hyperbolic triangle groups.
• Forgetful maps between Deligne-Mostow ball quotients
• Virtual Betti numbers of compact locally symmetric spaces
• Asymptotics of Betti numbers of arithmetic varieties
• Trees, valuations and the Green-Lazarsfeld set.
• Subgroup separability and virtual retractions of groups
• Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups
• Quotients of the complex ball by discrete groups
• Some applications of the Weil representation
• On a remarkable class of polyhedra in complex hyperbolic space
• Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville
• On the cohomology of Kottwitz's arithmetic varieties
• On the rigidity of discrete isometry groups of negatively curved spaces
• Maps between complex hyperbolic surfaces
• The Leech lattice and complex hyperbolic reflections
• Classification and arithmeticity of toroidal compactifications with \(3\overline{c}_2=\overline{c}_1^2=3\)
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Generalized Picard lattices arising from half-integral conditions
• Chern numbers of algebraic surfaces
• Peripheral separability and cusps of arithmetic hyperbolic orbifolds
• On the number of ends of rank one locally symmetric spaces
• On the volumes of cusped, complex hyperbolic manifolds and orbifolds
• On the virtual Betti numbers of arithmetic hyperbolic 3-manifolds
• Filtered ends, proper holomorphic mappings of Kähler manifolds to Riemann surfaces, and Kähler groups
• Automorphic forms and rational homology 3-spheres
• Projective Algebraicity of Minimal Compactifications of Complex-Hyperbolic Space Forms of Finite Volume
• Chern Numbers of Algebraic Surfaces — Hirzebruch's Examples are Picard Modular Surfaces
• Zariski's conjecture and related problems
• Volumes of Picard modular surfaces
• Produits dans la cohomologie holomorphe des variétés de Shimura II: Calculs et applications.
• Discrete Groups of Motions
• On the classification of rank-two representations of quasiprojective fundamental groups
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• Essential closed surfaces in bounded 3-manifolds
• Hyperplane sections in arithmetic hyperbolic manifolds

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