Formes logarithmiques et feuilletages non dicritiques

Abstract

For a codimension 1 holomorphic foliation $\mathcal F$ on $\mathbb P_{\mathbb C}^{n}$ satisfying reasonable assumptions, there are estimations of the degree of invariant hypersurfaces H in terms of the degree of $\mathcal F$ (Carnicer, Cerveau-Lins Neto). In this paper we study the extremal case $deg H=deg\mathcal F+2$ in the spirit of Brunella's results.