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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1990, Volume 54, Issue 5, Pages 1069–1089
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”, 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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\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/im1063}
\mathscinet{http://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}
\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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  • https://doi.org/10.1070/IM1991v037n02ABEH002070
  • https://www.mathnet.ru/eng/im/v54/i5/p1069
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:292
    Russian version PDF:97
    English version PDF:4
    References:46
    First page:2
     
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