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Mathematics of the USSR-Sbornik, 1992, Volume 72, Issue 1, Pages 189–205
DOI: https://doi.org/10.1070/SM1992v072n01ABEH001267 (Mi sm1292) 		 
This article is cited in 40 scientific papers (total in 40 papers)

On holomorphic transformations of a quadric

V. K. Beloshapka
English version PDF (854 kB) Citations (40)
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DOI: https://doi.org/10.1070/SM1992v072n01ABEH001267
Abstract: Holomorphic transformations of a quadric of arbitrary codimension are studied. General formulas are derived for infinitesimal automorphisms of such a surface. The phenomenon of “rigidity” of quadrics in general position is demonstrated. Examples of quadrics with rich automorphism groups are considered. A classification is given for positive-definite quadrics of codimension two.
Received: 01.11.1989
Russian version:
Matematicheskii Sbornik, 1991, Volume 182, Number 2, Pages 203–219
Bibliographic databases:
UDC: 517.5
MSC: Primary 32M05, 32H99; Secondary 32C05, 14J25
Language: English
Original paper language: Russian
Citation: V. K. Beloshapka, “On holomorphic transformations of a quadric”, Mat. Sb., 182:2 (1991), 203–219; Math. USSR-Sb., 72:1 (1992), 189–205
Citation in format AMSBIB
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\by V.~K.~Beloshapka
\paper On holomorphic transformations of a~quadric
\jour Mat. Sb.
\yr 1991
\vol 182
\issue 2
\pages 203--219
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..72..189B}
\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 72
\issue 1
\pages 189--205
\crossref{https://doi.org/10.1070/SM1992v072n01ABEH001267}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JF72300011}
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  • https://doi.org/10.1070/SM1992v072n01ABEH001267
  • https://www.mathnet.ru/eng/sm/v182/i2/p203
    • This publication is cited in the following 40 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1991 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:626
    Russian version PDF:183
    English version PDF:8
    References:47
    First page:1
     
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