ANALYTIC NORMAL FORMS OF GERMS OF HOLOMORPHIC DICRITIC FOLIATIONS

We consider the class V-n+1(d) of dicritic germs of holomorphic vector fields in (C-2, 0) with vanishing n-jet at the origin, n >= 1, and their generated foliations. Earlier we proved that under some genericity assumptions, the formal equivalence of two germs implies their analytic equivalence and formal normal forms of germs in V-n+1(d) were given. In this work we give analytic normal forms of generic germs of dicritic foliations of V-n+1(d).