Formes logarithmiques et feuilletages non dicritiques

2013/04/17 by Cerveau, Dominique · 1 citation
#34M45 #37F75 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.4858

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.

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