On a theorem of J. -P. Jouanolou concerning closed leaves of holomorphic foliations (Q1567584)

The author proves that a codimension one holomorphic foliation (possibly singular) on a compact connected complex manifold \(X\) has a finite number of closed leaves unless every leaf is closed. This generalizes a result of \textit{J. P. Jouanolou} [Math. Ann. 232, 239-245 (1978; Zbl 0354.34007)] published in 1978, who proved the result with extra hypotheses on the manifold \(X\). The arguments in this paper are essentially those used by Jouanolou. In addition to the main result, the paper contains interesting examples and related questions.