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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
English version PDF (1444 kB) Citations (25)
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DOI: https://doi.org/10.1070/IM1989v032n01ABEH000732
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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\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}
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  • 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:300
    Russian version PDF:100
    English version PDF:3
    References:47
    First page:1
     
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