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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 3, Pages 535–576
DOI: https://doi.org/10.1070/IM1975v009n03ABEH001490 (Mi im2042) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group

V. L. Popov
English version PDF (2012 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1975v009n03ABEH001490
Abstract: In this article, we find all irreducible three-dimensional affine algebraic varieties that admit a quasi-transitive algebraic group of biregular automorphisms (that is, there is an orbit under the group action whose complement has dimension at most zero). The ground field is algebraically closed and has characteristic zero.
Bibliography: 29 items.
Received: 15.11.1974
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1975, Volume 39, Issue 3, Pages 566–609
Bibliographic databases:
Document Type: Article
UDC: 519.4
MSC: Primary 14J10; Secondary 14L10, 20G20, 20G05, 57A10
Language: English
Original paper language: Russian
Citation: V. L. Popov, “Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group”, Izv. Akad. Nauk SSSR Ser. Mat., 39:3 (1975), 566–609; Math. USSR-Izv., 9:3 (1975), 535–576
Citation in format AMSBIB
\Bibitem{Pop75}
\by V.~L.~Popov
\paper Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1975
\vol 39
\issue 3
\pages 566--609
\mathnet{http://mi.mathnet.ru/im2042}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=376702}
\zmath{https://zbmath.org/?q=an:0308.14009}
\transl
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 3
\pages 535--576
\crossref{https://doi.org/10.1070/IM1975v009n03ABEH001490}
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  • https://www.mathnet.ru/eng/im/v39/i3/p566
    • This publication is cited in the following 7 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
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    Abstract page:354
    Russian version PDF:105
    English version PDF:12
    References:37
    First page:3
     
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