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Izv. Akad. Nauk SSSR Ser. Mat., 1990, Volume 54, Issue 5, Pages 1069–1089 (Mi izv1063)  
New restrictions on the topology of real curves of degree a multiple of 8

E. I. Shustin

Kuibyshev State University

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.

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English version:
Mathematics of the USSR-Izvestiya, 1991, 37:2, 421–443

Bibliographic databases:

UDC: 512.77
MSC: Primary 14G30, 14H45; Secondary 51M99
Received: 25.10.1988

Citation: E. I. Shustin, “New restrictions on the topology of real curves of degree a multiple of 8”, Izv. Akad. Nauk SSSR Ser. Mat., 54:5 (1990), 1069–1089; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1990
\vol 54
\issue 5
\pages 1069--1089
\mathnet{http://mi.mathnet.ru/izv1063}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1086086}
\zmath{https://zbmath.org/?q=an:0732.14027|0717.14027}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37..421S}
\transl
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 2
\pages 421--443
\crossref{https://doi.org/10.1070/IM1991v037n02ABEH002070}


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