2 papers
math.GT2025
Complex hyperbolic 2-orbifolds with isolated singularities
Alan W. Reid, Matthew Stover
For each prime , this paper constructs compact complex hyperbolic -manifolds with an isometric action of that is not free and has only isolated fi…
math.GT2018
Many cusped hyperbolic 3-manifolds do not bound geometrically
Alexander Kolpakov, Alan W. Reid, Stefano Riolo
In this note, we show that there exist cusped hyperbolic -manifolds that embed geodesically, but cannot bound geometrically. Thus, being a geometric boundary is a non-trivial pr…