Let \({{\mathcal {O}}}\) be a stable Riemann orbifold, that is, a closed 2-dimensional orbifold with nodes such that each connected component of the complement of the nodes has an analytically finite complex structure of hyperbolic type. We say that \({{\mathcal {O}}}\) is of Schottky type if there is a virtual noded Schottky group K such that \(\varOmega ^{ext}/K\) is isomorphic to it, where \(\varOmega ^{ext}\) is the extended domain of discontinuity of K. This is the same as saying that \({\mathcal {O}}\) is the conformal boundary at infinity of the hyperbolic 3-dimensional handlebody orbifold \({\mathbb {H}}^3/K\). In this paper we prove that the stable Riemann orbifolds of certain signature are of Schottky type.

令\（{{\ mathcal {O}}} \）是一个稳定的黎曼球面，即一个带有节点的闭合二维球面，这样，节点补数的每个连通分量都具有双曲的解析有限复结构类型。我们说\（{{\\ mathcal {O}}} \\）是肖特基类型的，如果存在一个虚拟节点肖特基群K，使得\（\ varOmega ^ {ext} / K \）与它同构，其中\ （\ varOmega ^ {ext} \）是K不连续的扩展域。这与说\（{\ mathcal {O}} \）是双曲的3维手柄体或双向\（{\ mathbb {H}} ^ 3 / K \）的无穷大处的共形边界是一样的。。在本文中，我们证明了具有一定特征性的稳定黎曼球面是肖特基类型的。