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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 254, Pages 181–191 (Mi tm107)  
This article is cited in 2 scientific papers (total in 2 papers)

The Density of Separatrix Connections in the Space of Polynomial Foliations in $\mathbb C\mathrm P^2$

D. S. Volk

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (196 kB) Citations (2)
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Abstract: A complex analog of the Hayashi connecting lemma is proved; namely, in the space of polynomial vector fields of degree higher than $1$ on the complex plane, the vector fields that have a common complex separatrix of two singular points are dense.
Received in October 2005
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 254, Pages 169–179
DOI: https://doi.org/10.1134/S0081543806030072
Bibliographic databases:
UDC: 517.927.7
Language: Russian
Citation: D. S. Volk, “The Density of Separatrix Connections in the Space of Polynomial Foliations in $\mathbb C\mathrm P^2$”, Nonlinear analytic differential equations, Collected papers, Trudy Mat. Inst. Steklova, 254, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 181–191; Proc. Steklov Inst. Math., 254 (2006), 169–179
Citation in format AMSBIB
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\by D.~S.~Volk
\paper The Density of Separatrix Connections in the Space of Polynomial Foliations in~$\mathbb C\mathrm P^2$
\inbook Nonlinear analytic differential equations
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 254
\pages 181--191
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2301004}
\elib{https://elibrary.ru/item.asp?id=13526865}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 254
\pages 169--179
\crossref{https://doi.org/10.1134/S0081543806030072}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749384507}
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