Complex hyperbolic 2-orbifolds with isolated singularities

Alan W. Reid; Matthew Stover

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arXiv · 2504.20188

Complex hyperbolic 2-orbifolds with isolated singularities

Alan W. Reid·Matthew Stover

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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.

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BibTeX RIS

Alan W. Reid, Matthew Stover. 2025-04-28. Complex hyperbolic 2-orbifolds with isolated singularities. https://arxiv.org/abs/2504.20188

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