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Complex hyperbolic 2-orbifolds with isolated singularities
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DOI：10.1017/S0017089525100773.png)
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Abstract
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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.
Keywords:
complex hyperbolic 2-oribfold
isometric group action
isolated fixed points
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