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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 267, Pages 119–132 (Mi znsl1268)  
This article is cited in 4 scientific papers (total in 4 papers)

Construction of arrangements of a cubic and a quartic by patchworking

M. A. Gushchin, A. N. Korobeinikov, G. M. Polotovsky

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (565 kB) Citations (4)
Abstract: B. Sturmfels modified Viro's patchworking method and applied it for construction of complete intersections. We use this modification for construction of decomposable curves. We realize 11 new arrangements of an $M$-cubic and an $M$-quartic with 12 common points lying on the odd branch of the cubic and on an oval of the quartic.
Received: 01.11.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 6, Pages 795–803
DOI: https://doi.org/10.1023/A:1021279100786
Bibliographic databases:
UDC: 512.77
Language: Russian
Citation: M. A. Gushchin, A. N. Korobeinikov, G. M. Polotovsky, “Construction of arrangements of a cubic and a quartic by patchworking”, Geometry and topology. Part 5, Zap. Nauchn. Sem. POMI, 267, POMI, St. Petersburg, 2000, 119–132; J. Math. Sci. (N. Y.), 113:6 (2003), 795–803
Citation in format AMSBIB
\Bibitem{GusKorPol00}
\by M.~A.~Gushchin, A.~N.~Korobeinikov, G.~M.~Polotovsky
\paper Construction of arrangements of a cubic and a quartic by patchworking
\inbook Geometry and topology. Part~5
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 267
\pages 119--132
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1268}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1809819}
\zmath{https://zbmath.org/?q=an:1027.14031}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 6
\pages 795--803
\crossref{https://doi.org/10.1023/A:1021279100786}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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