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Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 2, Pages 421–443
DOI: https://doi.org/10.1070/IM1991v037n02ABEH002070 (Mi im1063) 		 
This article is cited in 1 scientific paper (total in 1 paper)

New restrictions on the topology of real curves of degree a multiple of 8

E. I. Shustin

Kuibyshev State University
English version PDF (1153 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1991v037n02ABEH002070
Abstract: Two geometrical constructions are given which enable one to rule out certain arrangements of ovals of real plane curves of degree a multiple of 8. In particular, for degree 8 one cannot have an $M$-curve for which one oval envelopes the other ovals.
Received: 25.10.1988
Bibliographic databases:
UDC: 512.77
MSC: Primary 14G30, 14H45; Secondary 51M99
Language: English
Original paper language: Russian
Citation: E. I. Shustin, “New restrictions on the topology of real curves of degree a multiple of 8”, Math. USSR-Izv., 37:2 (1991), 421–443
Citation in format AMSBIB
\Bibitem{Shu90}
\by E.~I.~Shustin
\paper New restrictions on the topology of real curves of degree a multiple of~8
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 2
\pages 421--443
\mathnet{http://mi.mathnet.ru/eng/im1063}
\crossref{https://doi.org/10.1070/IM1991v037n02ABEH002070}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1086086}
\zmath{https://zbmath.org/?q=an:0732.14027|0717.14027}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37..421S}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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