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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 3, Pages 493–534
DOI: https://doi.org/10.1070/IM1975v009n03ABEH001489 (Mi im2041) 		 
This article is cited in 27 scientific papers (total in 27 papers)

Automorphisms of affine surfaces. I

M. Kh. Gizatullin, V. I. Danilov
English version PDF (2006 kB) Citations (27)
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DOI: https://doi.org/10.1070/IM1975v009n03ABEH001489
Abstract: We study the group of automorphisms $\operatorname{Aut}(X)$ of an affine surface $X$ which can be made complete by adding a zigzag. This study is based on the computation of the action of $\operatorname{Aut}(X)$ on a certain tree $\Delta_X$ associated with the surface $X$. Our results are used to give a description of forms of the surface $X$ and of algebraic subgroups of $\operatorname{Aut}(X)$.
Bibliography: 15 items.
Received: 29.05.1974
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1975, Volume 39, Issue 3, Pages 523–565
Bibliographic databases:
UDC: 513.6
MSC: 14J25
Language: English
Original paper language: Russian
Citation: M. Kh. Gizatullin, V. I. Danilov, “Automorphisms of affine surfaces. I”, Izv. Akad. Nauk SSSR Ser. Mat., 39:3 (1975), 523–565; Math. USSR-Izv., 9:3 (1975), 493–534
Citation in format AMSBIB
\Bibitem{GizDan75}
\by M.~Kh.~Gizatullin, V.~I.~Danilov
\paper Automorphisms of affine surfaces.~I
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1975
\vol 39
\issue 3
\pages 523--565
\mathnet{http://mi.mathnet.ru/im2041}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=376701}
\zmath{https://zbmath.org/?q=an:0311.14002}
\transl
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 3
\pages 493--534
\crossref{https://doi.org/10.1070/IM1975v009n03ABEH001489}
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    This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:480
    Russian version PDF:189
    English version PDF:10
    References:49
    First page:1
     
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