By introducing a new invariant called the set of slidings, we give a complete
strict classification of the class of germs of non-dicritical holomorphic
foliations in the plan whose Camacho-Sad indices are not rational. Moreover, we
will show that, in this class, the new invariant is finitely determined.
Consequently, the finite determination of the class of isoholonomic
non-dicritical foliations and absolutely dicritical foliations that have the
same Dulac maps are proved.Comment: 21 pages, 2 figur