Semi-local Liouville equivalence of complex Hamiltonian systems defined by rational Hamiltonian

Consider the holomorphic function f=az2+R(w), where z and w are complex variables and R is a rational function. Let Dξ0,ε be a small disc around ξ0∈C. Function f defines the foliation in the neighborhood f−1(Dξ0,ε) of the (singular) fiber f−1(ξ0). We give a complete topological classification of such foliations.