论文标题
成对的叶子和Mattei-Moussu定理
Pairs of foliations and Mattei-Moussu's theorem
论文作者
论文摘要
我们证明，通过炸毁来降低叶对的奇异性，然后研究还原模型的分析分类。那些减少的常规叶对成对已被充分理解。普通和单一的叶面的情况与Mattei-Moussu的定理进行了处理，我们为此提供了新的证明，避免了Gronwall的不平等。我们最终宣布了第一作者最近获得的结果，即减少了相同分离的叶子。
We prove a reduction of singularities for pairs of foliations by blowing-up, and then investigate the analytic classification of the reduced models. Those reduced pairs of regular foliations are well understood. The case of a regular and a singular foliation is dealt with Mattei-Moussu's Theorem for which we provide a new proof, avoiding Gronwall's inequality. We end-up announcing results recently obtained by the first author in the case of a pair of reduced foliations sharing the same separatrices.
