论文标题
$ \ mathbb {p}^3（\ mathbb {c}）$的唯一奇异性均具有不变平面
Unique ergodicity for singular holomorphic foliations of $\mathbb{P}^3(\mathbb{C})$ with an invariant plane
论文作者
论文摘要
我们证明了$ \ mathbb {p}^3（\ Mathbb {c}）$具有双曲线奇异性的奇异性植物的独特性遗体定理，并具有不变的平面，没有叶面循环，与DINH-SIBONY COMBONY CONCERNING ORGODITION的结果相比， $ \ mathbb {p}^2（\ mathbb {c}）$带有不变行。该证明本质上是动力学的，并使用Nguyên的基本可整合性估计值调整了Deroin-Kleptsyn的工作。
We prove a unique ergodicity theorem for singular holomorphic foliations of $\mathbb{P}^3(\mathbb{C})$ with hyperbolic singularities and with an invariant plane with no foliation cycle, in analogy with a result of Dinh-Sibony concerning unique ergodicity for foliations of $\mathbb{P}^2(\mathbb{C})$ with an invariant line. The proof is dynamical in nature and adapts the work of Deroin-Kleptsyn to a singular context, using the fundamental integrability estimate of Nguyên.
