Residually finite lattices in \(\widetilde{\mathrm{PU}(2,1)}\) and fundamental groups of smooth projective surfaces

DOI10.1307/mmj/20217215zbMath1506.14042arXiv2105.12772OpenAlexW4289526262MaRDI QIDQ2083515

Matthew Stover, Domingo Toledo

Publication date: 11 October 2022

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12772

zbMATH Keywords

fundamental groupsresidually finitealgebraic varieties

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Residual properties and generalizations; residually finite groups (20E26) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (2)

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

Cites Work

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• Hurwitz ball quotients
• Multiple realizations of varieties as ball quotient compactifications
• Enumeration of the 50 fake projective planes
• Fake projective planes
• Harmonic mappings of Kähler manifolds to locally symmetric spaces
• Addendum to ``Fake projective planes Invent. Math. 168, 321-370 (2007)
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• Quotients of the complex ball by discrete groups
• Some applications of the Weil representation
• Automorphic forms and the periods of abelian varieties
• On the intersection ring of compact three manifolds
• Projective varieties with non-residually finite fundamental group
• Computation of the metaplectic kernel
• Two remarks on the topology of projective surfaces
• 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
• Linear Shafarevich conjecture
• A topological property of Runge pairs
• Profinite properties of discrete groups
• Volumes of Picard modular surfaces
• Produits dans la cohomologie holomorphe des variétés de Shimura II: Calculs et applications.
• Examples of Fundamental Groups of Compact Kähler Manifolds
• On the universal coverings of algebraic surfaces
• On the Cohomology of the Stover Surface
• Fibred surfaces, varieties isogenous to a product and related moduli spaces
• Cusp and b_1 growth for ball quotients and maps onto Z with finitely generated kernel
• On the Second Lower Quotient of the Fundamental Group
• On Infinite Soluble Groups (III)
• The Bicanonical Map of Fake Projective Planes with an Automorphism

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