Topological equivalence of dicritical holomorphic vector fields (Q1972784)

The authors study the topological equivalence between holomorphic vector fields defined in an open neighborhood \(0\in U\subset \mathbb{C}^n\) with dicritical isolated singularity and without singularities at the divisor. They generalize to dimension \(n=3\) a result given in the case \(n=2\) by \textit{M. Klughertz} [`Feuilletages holomorphes à singularité isolée ayant une infinité de courbes intégrales, Vol. III, Thèse, Toulouse (1988)]. Other interesting results related to these problems are given in Section 2 and Section 3.