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 $degH=deg\mathcal{F}+2$ in the spirit of Brunella's results.

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