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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 231, Pages 255–268 (Mi znsl3755)  
This article is cited in 2 scientific papers (total in 2 papers)

Topological methods in geometry

Differential geometry “in the large” of plane algebraic curves and integral formulas for invariants of singularities

A. O. Viro

Saint-Petersburg State University
Full-text PDF (640 kB) Citations (2)
Abstract: We generalize the Plücker formula for the number of inflection points of a complex projective curve and derive a formula for the number of sextatic points of such a curve. We also obtain an upper estimate for the number of vertices of a real algebraic curve. The proof uses a new result related with integration on the Euler characteristic. Bibl. 5 titles.
Received: 15.06.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 6, Pages 3499–3507
DOI: https://doi.org/10.1007/BF02434928
Bibliographic databases:
Document Type: Article
UDC: 512.772
Language: Russian
Citation: A. O. Viro, “Differential geometry “in the large” of plane algebraic curves and integral formulas for invariants of singularities”, Investigations in topology. Part 8, Zap. Nauchn. Sem. POMI, 231, POMI, St. Petersburg, 1995, 255–268; J. Math. Sci. (New York), 91:6 (1998), 3499–3507
Citation in format AMSBIB
\Bibitem{Vir95}
\by A.~O.~Viro
\paper Differential geometry ``in the large'' of plane algebraic curves and integral formulas for invariants of singularities
\inbook Investigations in topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 231
\pages 255--268
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3755}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434298}
\zmath{https://zbmath.org/?q=an:0907.14025|0884.14027}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 6
\pages 3499--3507
\crossref{https://doi.org/10.1007/BF02434928}
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  • https://www.mathnet.ru/eng/znsl/v231/p255
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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