Codimension one holomorphic foliations on \mathbb Pⁿ_{\mathbb C}: problems in complex geometry

2012/01/30 by Cerveau, Dominique
#37F75 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1201.6165

Abstract

After a short review on foliations, we prove that a codimension 1 holomorphic foliation on \mathbb P³_{\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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