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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 254, Pages 192–195 (Mi tm108)  
This article is cited in 4 scientific papers (total in 4 papers)

A Generic Analytic Foliation in $\mathbb C^2$ Has Infinitely Many Cylindrical Leaves

T. I. Golenishcheva-Kutuzova

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (135 kB) Citations (4)
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Abstract: 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.
Received in October 2005
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 254, Pages 180–183
DOI: https://doi.org/10.1134/S0081543806030084
Bibliographic databases:
UDC: 517.927.7
Language: Russian
Citation: T. I. Golenishcheva-Kutuzova, “A Generic Analytic Foliation in $\mathbb C^2$ Has Infinitely Many Cylindrical Leaves”, Nonlinear analytic differential equations, Collected papers, Trudy Mat. Inst. Steklova, 254, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 192–195; Proc. Steklov Inst. Math., 254 (2006), 180–183
Citation in format AMSBIB
\Bibitem{Gol06}
\by T.~I.~Golenishcheva-Kutuzova
\paper A~Generic Analytic Foliation in~$\mathbb C^2$ Has Infinitely Many Cylindrical Leaves
\inbook Nonlinear analytic differential equations
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 254
\pages 192--195
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm108}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2301005}
\zmath{https://zbmath.org/?q=an:1351.32042}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 254
\pages 180--183
\crossref{https://doi.org/10.1134/S0081543806030084}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749386177}
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