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Russian Mathematical Surveys, 1986, Volume 41, Issue 3, Pages 55–82
DOI: https://doi.org/10.1070/RM1986v041n03ABEH003317
(Mi rm2078)
 

This article is cited in 51 scientific papers (total in 52 papers)

Progress in the topology of real algebraic varieties over the last six years

O. Ya. Viro
References:
Received: 22.05.1985
Bibliographic databases:
Document Type: Article
UDC: 515.16
Language: English
Original paper language: Russian
Citation: O. Ya. Viro, “Progress in the topology of real algebraic varieties over the last six years”, Russian Math. Surveys, 41:3 (1986), 55–82
Citation in format AMSBIB
\Bibitem{Vir86}
\by O.~Ya.~Viro
\paper Progress in the topology of real algebraic varieties over the last six years
\jour Russian Math. Surveys
\yr 1986
\vol 41
\issue 3
\pages 55--82
\mathnet{http://mi.mathnet.ru/eng/rm2078}
\crossref{https://doi.org/10.1070/RM1986v041n03ABEH003317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=854239}
\zmath{https://zbmath.org/?q=an:0619.14015}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1986RuMaS..41...55V}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986H544800003}
Linking options:
  • https://www.mathnet.ru/eng/rm2078
  • https://doi.org/10.1070/RM1986v041n03ABEH003317
  • https://www.mathnet.ru/eng/rm/v41/i3/p45
  • This publication is cited in the following 52 articles:
    1. Jean-Jacques Risler, “Construction de courbes réelles”, Journées mathématiques X-UPS, 2024, 51  crossref
    2. Victor A. Vassiliev, “Complements of discriminants of simple real function singularities”, Isr. J. Math., 2024  crossref
    3. V. I. Zvonilov, “Viro–Zvonilov Inequalities for Flexible Curves on an Almost Complex Four-Dimensional Manifold”, Lobachevskii J Math, 43:3 (2022), 720  crossref
    4. Paul Breiding, Hanieh Keneshlou, Antonio Lerario, “Quantitative Singularity Theory for Random Polynomials”, International Mathematics Research Notices, 2022:8 (2022), 5685  crossref
    5. Ishikawa G. Oyama M., “Topology of Complements to Real Affine Space Line Arrangements”, J. Singul., 22 (2020), 373–384  crossref  isi
    6. Erwan Brugallé, Alex Degtyarev, Ilia Itenberg, Frédéric Mangolte, “Real algebraic curves with large finite number of real points”, European Journal of Mathematics, 5:3 (2019), 686  crossref
    7. Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann, Mahsa Sayyary Namin, Bernd Sturmfels, “Sixty-Four Curves of Degree Six”, Experimental Mathematics, 28:2 (2019), 132  crossref
    8. Daniel Ruberman, Laura Starkston, “Topological Realizations of Line Arrangements”, International Mathematics Research Notices, 2019:8 (2019), 2295  crossref
    9. Indranil Biswas, Mahan Mj, Analytic and Algebraic Geometry, 2017, 49  crossref
    10. Ilia Itenberg, Grigory Mikhalkin, Johannes Rau, “Rational quintics in the real plane”, Trans. Amer. Math. Soc., 370:1 (2017), 131  crossref
    11. Johan Björklund, “Flexible isotopy classification of flexible links”, J. Knot Theory Ramifications, 25:08 (2016), 1650049  crossref
    12. S. D'Mello, “Chord Diagrams and Generic Real Rational Planar Curves of Degree 4”, International Mathematics Research Notices, 2015  crossref
    13. S. Finashin, V. Kharlamov, “Topology of real cubic fourfolds”, Journal of Topology, 2010  crossref  zmath  isi
    14. Alexander Nabutovsky, “Non-recursive functions, knots “with thick ropes,” and self-clenching “thick” hyperspheres”, Comm Pure Appl Math, 48:4 (2010), 381  crossref
    15. Marcel Berger, Geometry Revealed, 2010, 249  crossref
    16. Fiedler-Le Touze, S, “M-curves of degree 9 with deep nests”, Journal of the London Mathematical Society-Second Series, 79 (2009), 649  mathscinet  zmath  isi
    17. “Introduction to tropical geometry”, Tropical Algebraic Geometry, Oberwolfach Seminars, 35, 2009, 1  isi
    18. Erwan Brugallé, Oliver Labs, “Surfaces with many solitary points”, Geom Dedicata, 2008  crossref  mathscinet  isi
    19. Oleg Viro, “From the sixteenth Hilbert problem to tropical geometry”, Jpn. J. Math., 3:2 (2008), 185  crossref
    20. J. William Helton, Victor Vinnikov, “Linear matrix inequality representation of sets”, Comm Pure Appl Math, 60:5 (2007), 654  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
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    Abstract page:862
    Russian version PDF:395
    English version PDF:41
    References:128
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