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Mathematics of the USSR-Sbornik, 1970, Volume 10, Issue 4, Pages 569–579
DOI: https://doi.org/10.1070/SM1970v010n04ABEH001682 (Mi sm3389) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Three-dimensional varieties with rational sections

B. V. Martynov
English version PDF (577 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1970v010n04ABEH001682
Abstract: In the paper we prove the following
Theorem. A three-dimensional nonsingular variety over the field of complex numbers whose generic hyperplane sections are nonsingular rational surfaces is birationally equivalent either to projective three-space or to a cubic variety in projective four-space.
Bibliography: 11 titles.
Received: 23.10.1969
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 81(123), Number 4, Pages 622–633
Bibliographic databases:
UDC: 513.015.7
MSC: 14J26, 14H52, 20J06
Language: English
Original paper language: Russian
Citation: B. V. Martynov, “Three-dimensional varieties with rational sections”, Mat. Sb. (N.S.), 81(123):4 (1970), 622–633; Math. USSR-Sb., 10:4 (1970), 569–579
Citation in format AMSBIB
\Bibitem{Mar70}
\by B.~V.~Martynov
\paper Three-dimensional varieties with rational sections
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 81(123)
\issue 4
\pages 622--633
\mathnet{http://mi.mathnet.ru/sm3389}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=284438}
\zmath{https://zbmath.org/?q=an:0217.05301}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 4
\pages 569--579
\crossref{https://doi.org/10.1070/SM1970v010n04ABEH001682}
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  • https://www.mathnet.ru/eng/sm3389
  • https://doi.org/10.1070/SM1970v010n04ABEH001682
  • https://www.mathnet.ru/eng/sm/v123/i4/p622
    Addendum
    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
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:196
    Russian version PDF:69
    English version PDF:5
    References:41
     
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