Preprint A769/2015
Feuilletages holomorphes de codimension 1: Une ├ętude Locale dans le cas dicritique
Alcides Lins Neto | Dominique Cerveau | Mariana Ravara-Vago

We study germs of integrable 1-forms in dimension three whose first non-zero jet, say n, is dicritical. When n=1 or n=2, we give a complete description. The main result concerns the case n=3. In this case, by proving a generalization of Dulac's theorem about foliations in P^2 with a center, we give an almost complete description.