Curvature properties and Shafarevich conjecture for toroidal compactifications of ball quotients
Abstract
We study toroidal compactifications of finite volume complex hyperbolic manifolds. We obtain results on the existence or nonexistence of Kähler metrics satisfying certain nonpositive curvature properties on these compactifications. Starting from quotients of complex hyperbolic space by deep enough non-uniform arithmetic lattices, we also verify the Shafarevich conjecture for their compactifications, by showing that their universal covers are Stein.
Fields of Study & Subjects
Geometric and Algebraic Topology
Geometry and complex manifolds
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Journal of Differential Geometry
- Publisher
- International Press of Boston
- Volume
- 133
- Issue
- 3
- Pages
- 443-478
- Publication date
- 28 May 2026
- Language
- EN