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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 279, Pages 154–167 (Mi znsl1458)  
This article is cited in 3 scientific papers (total in 3 papers)

Symmetric sextics and auxiliary conics

V. S. Itenberga, I. V. Itenbergb

a St. Petersburg State University of Economics and Finance
b University of Rennes 1
Full-text PDF (291 kB) Citations (3)
Abstract: Rigid isotopy classes of nonsingular curves of degree 6 in $\mathbb RP^2$ are considered. The previously-known list of all the classes containing symmetric curves is obtained by elementary means. The proof of the fact that a curve in a given rigid isotopy class cannot be symmetric involves studing the position of such a curve with respect to auxuliary conics.
Received: 25.12.2000
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 1, Pages 78–85
DOI: https://doi.org/10.1023/B:JOTH.0000008743.36321.72
Bibliographic databases:
UDC: 512.772+515.165.4
Language: Russian
Citation: V. S. Itenberg, I. V. Itenberg, “Symmetric sextics and auxiliary conics”, Geometry and topology. Part 6, Zap. Nauchn. Sem. POMI, 279, POMI, St. Petersburg, 2001, 154–167; J. Math. Sci. (N. Y.), 119:1 (2004), 78–85
Citation in format AMSBIB
\Bibitem{IteIte01}
\by V.~S.~Itenberg, I.~V.~Itenberg
\paper Symmetric sextics and auxiliary conics
\inbook Geometry and topology. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 279
\pages 154--167
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1458}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1846077}
\zmath{https://zbmath.org/?q=an:1077.14088}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 1
\pages 78--85
\crossref{https://doi.org/10.1023/B:JOTH.0000008743.36321.72}
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  • https://www.mathnet.ru/eng/znsl/v279/p154
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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