Complex hyperbolic 2-orbifolds with isolated singularities
Abstract For each prime $p$ , this paper constructs compact complex hyperbolic $2$ -manifolds with an isometric action of $\mathbb{Z} / p \mathbb{Z}$ that is not free and has only isolated fixed points. The case $p = 2$ is special, and finding general examples for $p=2$ is related to whether or not complex hyperbolic lattices are conjugacy separable on torsion.
Authors
- Alan W. Reid (ORCID: https://orcid.org/0000-0003-0367-9453)
- Matthew Stover (ORCID: https://orcid.org/0000-0002-4423-6176)
Institutions
- Korea Institute for Advanced Study (KR)
- Temple College (US)
- Rice University (US)
- Temple University (US)
Publication Details
- Journal
- Glasgow Mathematical Journal
- Published
- 2025-10-24
- DOI
- https://doi.org/10.1017/s0017089525100773
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Science Foundation Ireland