Quotients of the complex ball by discrete groups

DOI10.2140/pjm.1987.130.115zbMath0597.57023OpenAlexW2028057896MaRDI QIDQ1079243

Ronnie Lee, Steven H. Weintraub, Frances C. Kirwan

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.130.115

zbMATH Keywords

compactificationsPoincaré polynomialgroup cohomologydesingularizationsBetti numbersHodge numbersintersection homologyrational cohomology\(L^ 2\)-cohomology\(({\mathbb P}^ 1)^ r\)quotient of the complex r-ball by discrete subgroups of PU(r,1)

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Homological methods in group theory (20J05) Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (15)

Rational intersection cohomology of quotient varieties ⋮ On the transformation law for theta-constants ⋮ A correspondence of good \(G\)-sets under partial geometric quotients ⋮ Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces ⋮ Congruence RFRS towers ⋮ Forgetful maps between Deligne-Mostow ball quotients ⋮ Hurwitz ball quotients ⋮ Rigid surfaces arbitrarily close to the Bogomolov--Miyaoka--Yau line ⋮ On the first Betti numbers of hyperbolic surfaces ⋮ A negatively curved Kähler threefold not covered by the ball ⋮ Cusp and b_1 growth for ball quotients and maps onto Z with finitely generated kernel ⋮ Residually finite lattices in \(\widetilde{\mathrm{PU}(2,1)}\) and fundamental groups of smooth projective surfaces ⋮ Unnamed Item ⋮ Moduli spaces of weighted pointed stable curves. ⋮ Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models

This page was built for publication: Quotients of the complex ball by discrete groups