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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 45, Issue 1, Pages 151–174
DOI: https://doi.org/10.1070/IM1995v045n01ABEH001624 (Mi im774) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Quadrics of codimension two, and their automorphisms

S. N. Shevchenko
English version PDF (1059 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM1995v045n01ABEH001624
Abstract: A study is made of nondegenerate quadrics of codimension two. An explicit description is given of their algebra of infinitesimal automorphisms. The dimension of this algebra is computed and estimated. The quadric with the richest automorphism group is determined. It is shown that in most cases all the automorphisms are linear. A holomorphic classification of quadrics is also given.
Received: 08.07.1993
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1994, Volume 58, Issue 4, Pages 149–172
Bibliographic databases:
UDC: 517.55
MSC: Primary 32C05, 14J50, 14E09, 32C16; Secondary 32C10, 32M05, 32C25
Language: English
Original paper language: Russian
Citation: S. N. Shevchenko, “Quadrics of codimension two, and their automorphisms”, Izv. RAN. Ser. Mat., 58:4 (1994), 149–172; Russian Acad. Sci. Izv. Math., 45:1 (1995), 151–174
Citation in format AMSBIB
\Bibitem{She94}
\by S.~N.~Shevchenko
\paper Quadrics of codimension two, and their automorphisms
\jour Izv. RAN. Ser. Mat.
\yr 1994
\vol 58
\issue 4
\pages 149--172
\mathnet{http://mi.mathnet.ru/im774}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1307060}
\zmath{https://zbmath.org/?q=an:0843.32004}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 45
\issue 1
\pages 151--174
\crossref{https://doi.org/10.1070/IM1995v045n01ABEH001624}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ08400007}
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  • https://doi.org/10.1070/IM1995v045n01ABEH001624
  • https://www.mathnet.ru/eng/im/v58/i4/p149
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:395
    Russian version PDF:139
    English version PDF:11
    References:71
    First page:2
     
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