an:00165868
Zbl 0782.32023
Bonatti, C.; Langevin, R.; Moussu, R.
Foliations in \(\mathbb{C} P(n)\): About hyperbolic holonomy for minimal exceptional sets
FR
Publ. Math., Inst. Hautes ??tud. Sci. 75, 123-134 (1992).
00010401
1992
j
32S65
holomorphic foliations
Does there exist a holomorphic foliation \({\mathcal F}\) of codimension \(l\) in \(\mathbb{C} P(n)\) with a minimal exceptional set, i.e. with a leaf \(L\) whose closure \(\overline L\) does not contain any singular point of \({\mathcal F}\)? The answer is not known. However, the authors show: given a holomorphic foliation \({\mathcal F}\) of codimension \(l\) in \(\mathbb{C} P(n)\) with a leaf \(L\) such that \(\overline L\) is disjoint from the singular set of \({\mathcal F}\), there exists a loop in a leaf contained in \(\overline L\) with contracting hyperbolic holonomy.
A.Aeppli (Minneapolis)