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Mathematics of the USSR-Izvestiya, 1983, Volume 21, Issue 2, Pages 211–268
DOI: https://doi.org/10.1070/IM1983v021n02ABEH001789 (Mi im1653) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Defining relations for the Cremona group of the plane

M. Kh. Gizatullin
English version PDF (2842 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/IM1983v021n02ABEH001789
Abstract: By methods of the geometry of rational surfaces and the topology of graphs and cell complexes connected with them, the author establishes defining relations, connecting projectives, and quadratic transformations, for the group of birational transformations of the plane over an algebraically closed field.
Bibliography: 11 titles.
Received: 29.01.1982
Bibliographic databases:
UDC: 513.6
MSC: Primary 14E05, 14E07; Secondary 14H35, 05C25, 05C40, 57M15
Language: English
Original paper language: Russian
Citation: M. Kh. Gizatullin, “Defining relations for the Cremona group of the plane”, Math. USSR-Izv., 21:2 (1983), 211–268
Citation in format AMSBIB
\Bibitem{Giz82}
\by M.~Kh.~Gizatullin
\paper Defining relations for the Cremona group of the plane
\jour Math. USSR-Izv.
\yr 1983
\vol 21
\issue 2
\pages 211--268
\mathnet{http://mi.mathnet.ru//eng/im1653}
\crossref{https://doi.org/10.1070/IM1983v021n02ABEH001789}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=675525}
\zmath{https://zbmath.org/?q=an:0555.14007|0509.14011}
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    • This publication is cited in the following 12 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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