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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 4, Pages 787–810
DOI: https://doi.org/10.1070/IM1970v004n04ABEH000933
(Mi im2447)
 

This article is cited in 20 scientific papers (total in 20 papers)

On affine surfaces that can be completed by a nonsingular rational curve

M. Kh. Gizatullin
References:
Abstract: It is proved that an affine nonsingular surface which can be completed by a nonsingular rational curve is quasi-homogeneous. The homogeneity of such surfaces is proved in the case of characteristic zero.
Received: 19.02.1970
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1970, Volume 34, Issue 4, Pages 778–802
Bibliographic databases:
UDC: 513.6
Language: English
Original paper language: Russian
Citation: M. Kh. Gizatullin, “On affine surfaces that can be completed by a nonsingular rational curve”, Izv. Akad. Nauk SSSR Ser. Mat., 34:4 (1970), 778–802; Math. USSR-Izv., 4:4 (1970), 787–810
Citation in format AMSBIB
\Bibitem{Giz70}
\by M.~Kh.~Gizatullin
\paper On affine surfaces that can be completed by a nonsingular rational
curve
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1970
\vol 34
\issue 4
\pages 778--802
\mathnet{http://mi.mathnet.ru/im2447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=280491}
\zmath{https://zbmath.org/?q=an:0201.23503|0219.14023}
\transl
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 4
\pages 787--810
\crossref{https://doi.org/10.1070/IM1970v004n04ABEH000933}
Linking options:
  • https://www.mathnet.ru/eng/im2447
  • https://doi.org/10.1070/IM1970v004n04ABEH000933
  • https://www.mathnet.ru/eng/im/v34/i4/p778
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:299
    Russian version PDF:102
    English version PDF:11
    References:51
    First page:1
     
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