Complex hyperbolic 2-orbifolds with isolated singularities

2025/04/28 by Alan W. Reid, Alan Reid, Reid, Alan W. +2
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2504.20188

openalex publication_date 2025/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For each prime p, this paper constructs compact complex hyperbolic 2-manifolds with an isometric action of ℤ / p 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.

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