Geodesic
Theorem on the density of separatrix connections for polynomial foliations in $\mathbb CP^2$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 4, pp. 53-64 
D. S. Volk. Theorem on the density of separatrix connections for polynomial foliations in $\mathbb CP^2$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 4, pp. 53-64. http://geodesic.mathdoc.fr/item/FPM_2006_12_4_a3/
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     title = {Theorem on the density of separatrix connections for polynomial foliations in $\mathbb CP^2$},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_4_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we prove that in the space of polynomial foliations of a fixed degree of the complex two-dimensional space, foliations with separatrix connection, i.e., foliations in which any two distinct point have a common separatrix, are dense. The main tool of the proof is the analysis of the monodromy group of the foliation in a neighborhood of the infinitely distant point of the ambient projective space.

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