Isolated invariant curves of a foliation

We bound the equisingularity type of the set of isolated separatrices of a holomorphic foliation of
in terms of the Milnor number of
. This result gives a bound for the degree of an algebraic invariant curve
of a foliation
of
in terms of the degree of
, provided that all the branches of
are isolated separatrices.
Corral, Nuria;
Fernández Sánchez, Percy.
Año: 2006
Título de la revista: Proceedings of the American Mathematical Society
Volumen: 134
Página inicial - Página final: 1125-1132
ISSN: 1088-6826(online) 0002-9939(print)
Url: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08044-5/S0002-9939-05-08044-5.pdf