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This article is cited in 5 scientific papers (total in 5 papers)
Extension of locally biholomorphic mappings of domains into complex projective space
S. M. Ivashkovich
Abstract:
In this paper it is proved that every locally biholomorphic mapping of a domain
$D\subset\mathbf C^n$ into $\mathbf C\mathrm P^n$ can be extended to a biholomorphic mapping of the envelope of holomorphy $\widetilde D$ into $\mathbf C\mathrm P^n$. Corollaries are presented for extending mappings of hypersurfaces with indefinite Levi form.
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English version:
Mathematics of the USSR-Izvestiya, 1984, 22:1, 181–189
Bibliographic databases:
 
UDC:
517.5
MSC: Primary 32H99; Secondary 32D10
Received: 31.05.1982
Citation:
S. M. Ivashkovich, “Extension of locally biholomorphic mappings of domains into complex projective space”, Izv. Akad. Nauk SSSR Ser. Mat., 47:1 (1983), 197–206; Math. USSR-Izv., 22:1 (1984), 181–189
Citation in format AMSBIB
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\by S.~M.~Ivashkovich
\paper Extension of locally biholomorphic mappings of domains into complex projective space
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1983
\vol 47
\issue 1
\pages 197--206
\mathnet{http://mi.mathnet.ru/izv1385}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=688922}
\zmath{https://zbmath.org/?q=an:0561.32007|0523.32009}
\transl
\jour Math. USSR-Izv.
\yr 1984
\vol 22
\issue 1
\pages 181--189
\crossref{https://doi.org/10.1070/IM1984v022n01ABEH001437}
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http://mi.mathnet.ru/eng/izv1385 http://mi.mathnet.ru/eng/izv/v47/i1/p197
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This publication is cited in the following articles:
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A. G. Vitushkin, “Real-analytic hypersurfaces in complex manifolds”, Russian Math. Surveys, 40:2 (1985), 1–35
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A. V. Loboda, “Real-analytic generating manifolds of codimension $2$ in $\mathbf C^4$ and their biholomorphic mappings”, Math. USSR-Izv., 33:2 (1989), 295–315
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A. V. Loboda, “Linearizability of holomorphic mappings of generating manifolds of codimension 2 in $\mathbf C^4$”, Math. USSR-Izv., 36:3 (1991), 655–667
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S. Yu. Nemirovski, R. G. Shafikov, “Uniformization of strictly pseudoconvex domains. I”, Izv. Math., 69:6 (2005), 1189–1202
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Isaev A.V., Kossovskiy I.C., “Continuation of Cr-Automorphisms of Levi Degenerate Hyperquadrics To the Projective Space”, Illinois J Math, 54:2 (2010), 747–752
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