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

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

2012-01-30

arxiv.org/abs/1201.6165v2

Mathematics

Dynamical Systems

Scientific paper

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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