Formes logarithmiques et feuilletages non dicritiques

Dominique Cerveau (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Mots clés: Logarithmic meromorphic forms; holomorphic foliations

Domaines: Systèmes dynamiques [math.DS]

Dominique Cerveau. Formes logarithmiques et feuilletages non dicritiques. Algebraic Methods in Geometry: Commutative and Homological Algebra in Foliations and Singularities, Aug 2011, Guanajuato, Mexico. pp.50-55, ⟨10.5427/jsing.2014.9d⟩. ⟨hal-00815493⟩