Local structure of holomorphic foliation singularities

Sinan Sertöz
1998 Pacific Journal of Mathematics  
The local behaviour of the leaves of a singular holomorphic foliation is analyzed around the singularity. It is shown that certain integers classify the singular foliation germs. Maps from simpler classes to more complicated classes are constructed and it is shown that every foliation can be expressed in terms of simpler ones, under some mild assumptions.
doi:10.2140/pjm.1998.186.149 fatcat:xaeu23fvvngbvmfnv4vbkp6llq