It is known that there is at least an invariant analytic curve passing through each of the components in the complement of nodal singularities, after reduction of singularities of a germ of singular foliation in $$({\mathbb {C}}^2,0)$$ . Here, we state and prove a generalization of this property to any ambient dimension.

中文翻译：

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一维奇异叶理的不变超曲面和节点分量

已知在$$({\mathbb {C}}^2,0 )$$。在这里，我们陈述并证明了该属性对任何环境维度的推广。