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Matematicheskie Zametki, 1969, Volume 5, Issue 2, Pages 155–159 (Mi mzm6820)  
This article is cited in 1 scientific paper (total in 1 paper)

Unirationality of certain surfaces

A. M. Shermenev

M. V. Lomonosov Moscow State University
Full-text PDF (346 kB) Citations (1)
Abstract: Nonsingular cubic surfaces in $P^3$ and nonsingular intersections of two quadrics in $P^4$ are investigated. It is proved that if a $k$-point exists on a surface, there is a $k$-point not on a line; $k$ is the field over which the surfaces are defined.
Received: 31.05.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 2, Pages 97–99
DOI: https://doi.org/10.1007/BF01098306
Bibliographic databases:
UDC: 513.6
Language: Russian
Citation: A. M. Shermenev, “Unirationality of certain surfaces”, Mat. Zametki, 5:2 (1969), 155–159; Math. Notes, 5:2 (1969), 97–99
Citation in format AMSBIB
\Bibitem{She69}
\by A.~M.~Shermenev
\paper Unirationality of certain surfaces
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 2
\pages 155--159
\mathnet{http://mi.mathnet.ru/mzm6820}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=242830}
\zmath{https://zbmath.org/?q=an:0177.49301}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 2
\pages 97--99
\crossref{https://doi.org/10.1007/BF01098306}
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  • https://www.mathnet.ru/eng/mzm6820
  • https://www.mathnet.ru/eng/mzm/v5/i2/p155
    • This publication is cited in the following 1 articles:
    1. Yu. I. Manin, M. A. Tsfasman, “Rational varieties: algebra, geometry and arithmetic”, Russian Math. Surveys, 41:2 (1986), 51–116  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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