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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 3, Pages 90–93
DOI: https://doi.org/10.4213/faa213 (Mi faa213) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

New MM-Curve of Degree 8

S. Yu. Orevkovab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Université Paul Sabatier
Full-text PDF (208 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa213
Abstract: We construct a plane real algebraic curve of degree 88 with 2222 ovals (an MM-curve) realizing the isotopy type ⟨7⊔1⟨2⊔1⟨11⟩⟩⟩⟨7⊔1⟨2⊔1⟨11⟩⟩⟩ whose realizability was unknown.
Keywords: real algebraic curve.
Received: 01.10.2001
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 3, Pages 247–249
DOI: https://doi.org/10.1023/A:1020118609560
Bibliographic databases:
Document Type: Article
UDC: 512.77
Language: Russian
Citation: S. Yu. Orevkov, “New MM-Curve of Degree 8”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 90–93; Funct. Anal. Appl., 36:3 (2002), 247–249
Citation in format AMSBIB
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\by S.~Yu.~Orevkov
\paper New $M$-Curve of Degree 8
\jour Funktsional. Anal. i Prilozhen.
\yr 2002
\vol 36
\issue 3
\pages 90--93
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\transl
\jour Funct. Anal. Appl.
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\pages 247--249
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  • https://www.mathnet.ru/eng/faa213
  • https://doi.org/10.4213/faa213
  • https://www.mathnet.ru/eng/faa/v36/i3/p90
    • This publication is cited in the following 3 articles:
    1. Johannes Rau, “Real Semi-Stable Degenerations, Real-Oriented Blow-Ups, and Straightening Corners”, International Mathematics Research Notices, 2023:18 (2023), 15896  crossref
    2. Lehavi D., “Mikhalkin's classification of M-curves in maximal position with respect to three lines”, Snowbird Lectures in Algebraic Geometry, Contemporary Mathematics Series, 388, 2005, 107–118  crossref  mathscinet  isi
    3. Orevkov, SY, “Classification of flexible m-curves of degree 8 up to isotopy”, Geometric and Functional Analysis, 12:4 (2002), 723  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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