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

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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. 
@article{FPM_2006_12_4_a3,
     author = {D. S. Volk},
     title = {Theorem on the density of separatrix connections for polynomial foliations in $\mathbb CP^2$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {53--64},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_4_a3/}
}
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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/