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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
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\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
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\pages 1069--1089
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\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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http://mi.mathnet.ru/eng/izv1063 http://mi.mathnet.ru/eng/izv/v54/i5/p1069
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