We derive a sharp cusp count for finite volume complex hyperbolic surfaces which admit smooth toroidal compactifications. We use this result, and the techniques developed in Di Cerbo and Di Cerbo (see ), to study the geometry of cusped complex hyperbolic surfaces and their compactifications.
All Science Journal Classification (ASJC) codes
- Complex hyperbolic surfaces
- Cusp count
- Toroidal compactifications