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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 1, Pages 15–38
DOI: https://doi.org/10.1070/IM1989v032n01ABEH000732
(Mi im1166)
 

This article is cited in 25 scientific papers (total in 25 papers)

Holomorphic automorphisms of hyperbolic Reinhardt domains

N. G. Kruzhilin
References:
Abstract: The author describes the group of holomorphic automorphisms of a Reinhardt domain in $\mathbf C^n$ that is a hyperbolic complex manifold. Explicit formulas are presented from which it can be seen, in particular, that hyperbolic Reinhardt domains that do not intersect the coordinate hyperplanes only have automorphisms of a very simple form.
Bibliography: 12 titles.
Received: 21.05.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 1, Pages 16–40
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: Primary 32A07, 32M05; Secondary 22E10, 32H99, 32C25, 57R30, 57R25
Language: English
Original paper language: Russian
Citation: N. G. Kruzhilin, “Holomorphic automorphisms of hyperbolic Reinhardt domains”, Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988), 16–40; Math. USSR-Izv., 32:1 (1989), 15–38
Citation in format AMSBIB
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\by N.~G.~Kruzhilin
\paper Holomorphic automorphisms of hyperbolic Reinhardt domains
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 1
\pages 16--40
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=936521}
\zmath{https://zbmath.org/?q=an:0663.32019|0638.32024}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 1
\pages 15--38
\crossref{https://doi.org/10.1070/IM1989v032n01ABEH000732}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988T798400002}
Linking options:
  • https://www.mathnet.ru/eng/im1166
  • https://doi.org/10.1070/IM1989v032n01ABEH000732
  • https://www.mathnet.ru/eng/im/v52/i1/p16
  • This publication is cited in the following 25 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
    Statistics & downloads:
    Abstract page:309
    Russian version PDF:103
    English version PDF:7
    References:52
    First page:1
     
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