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Izvestiya: Mathematics, 2002, Volume 66, Issue 6, Pages 1271–1304
DOI: https://doi.org/10.1070/IM2002v066n06ABEH000414 (Mi im414) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Holomorphic equivalence of Reinhardt domains in $\mathbb C^2$

P. A. Soldatkin
English version PDF (2246 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM2002v066n06ABEH000414
Abstract: We consider the following question: are any two holomorphically equivalent Reinhardt domains necessarily algebraically equivalent? The answer is known to be positive in the one-dimensional case. We get a positive answer in dimension two. Apart from connectedness, no restrictions are imposed on the domains.
Received: 07.08.2001
Bibliographic databases:
UDC: 517.5
MSC: 32A07, 32M05, 54F15
Language: English
Original paper language: Russian
Citation: P. A. Soldatkin, “Holomorphic equivalence of Reinhardt domains in $\mathbb C^2$”, Izv. Math., 66:6 (2002), 1271–1304
Citation in format AMSBIB
\Bibitem{Sol02}
\by P.~A.~Soldatkin
\paper Holomorphic equivalence of Reinhardt domains in~$\mathbb C^2$
\jour Izv. Math.
\yr 2002
\vol 66
\issue 6
\pages 1271--1304
\mathnet{http://mi.mathnet.ru/eng/im414}
\crossref{https://doi.org/10.1070/IM2002v066n06ABEH000414}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1970357}
\zmath{https://zbmath.org/?q=an:1070.32001}
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  • https://www.mathnet.ru/eng/im/v66/i6/p187
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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