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References
R. Osserman, “On the inequality Δu ≥f(u),” Pacif. J. Math.,7, No. 4, 1641–1647 (1957).
B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Contemporary Geometry. Methods and Applications [in Russian], Nauka, Moscow (1984).
H. Hironaka, “On the resolution of singularities (characteristic zero),” Proc. Int. Cong. Math. (1962), pp. 507–521.
V. I. Arnol'd, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Mappings, Vol. 1 [in Russian], Nauka, Moscow (1982).
A. Candel and X. Gómez-Mont, “Uniformization of leaves of a rational vector field,” Preprint.
Yu. S. Il'yashenko, “Foliations by analytic curves,” Mat. Sb.,88, No. 4, 558–577 (1972).
V. I. Arnol'd and Yu. S. Il'yashenko, Ordinary Differential Equations. Contemporary Problems in Mathematics. Fundamental Directions [in Russian], Vol. 1, Part I, Itogi Nauki i Tekhniki, VINITI, Moscow (1985).
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Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 28, No. 2, pp. 1–11, April–June, 1994.
Research supported by a grant of the ProMathematica Foundation of the French Mathematical Society.
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Glutsuk, A.A. The hyperbolicity of phase curves of a generic polynomial vector field in ℂn . Funct Anal Its Appl 28, 77–84 (1994). https://doi.org/10.1007/BF01076493
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DOI: https://doi.org/10.1007/BF01076493