The local analytical triviality of a complex analytic singular foliation (Q1772565)

The authors investigate complex analytic singular foliations defined on the complex analytic manifold \(M\) of dimension \(n\). After recalling basic notions of the theory of singular foliations they prove a theorem about local analytic triviality along the leaves. The main tool of the proof is the Whitney stratification of the singular locus. The last section of the paper contains various examples which show the nature of the local analytic triviality of holomorphic foliations.