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arXiv · 1201.6165

Codimension one holomorphic foliations on $\mathbb P^n_{\mathbb C}$: problems in complex geometry

Dominique Cerveau
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Abstract

After a short review on foliations, we prove that a codimension 1 holomorphic foliation on $\mathbb P^3_{\mathbb C}$ with simple singularities is given by a closed rational 1-form. The proof uses Hironaka-Matsumura prolongation theorem of formal objects.

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Dominique Cerveau. 2012-02-25. Codimension one holomorphic foliations on $\mathbb P^n_{\mathbb C}$: problems in complex geometry. https://arxiv.org/abs/1201.6165

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