This article is cited in 7 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.
Bibliography: 12 titles

UDC: 517.5

MSC: Primary 32H99; Secondary 32D10

Received: 31.05.1982

 English version: Mathematics of the USSR-Izvestiya, 1984, 22:1, 181–189

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