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arXiv · 1304.4858

Formes logarithmiques et feuilletages non dicritiques

Dominique Cerveau
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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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Dominique Cerveau. 2013-04-17. Formes logarithmiques et feuilletages non dicritiques. https://arxiv.org/abs/1304.4858

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