Geodesic
A Generic Analytic Foliation in $\mathbb C^2$ Has Infinitely Many Cylindrical Leaves
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Nonlinear analytic differential equations, Tome 254 (2006), pp. 192-195 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is well known that a generic polynomial vector field of degree higher than $2$ on the plane has countably many complex limit cycles that are homologically independent on the leaves. In the paper, a similar assertion is proved for analytic vector fields on the complex plane. The proof is based on the results of D. S. Volk and T. S. Firsova. 
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T. I. Golenishcheva-Kutuzova. A Generic Analytic Foliation in $\mathbb C^2$ Has Infinitely Many Cylindrical Leaves. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Nonlinear analytic differential equations, Tome 254 (2006), pp. 192-195. http://geodesic.mathdoc.fr/item/TM_2006_254_a7/

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