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• W2156366090 abstract "In this paper we obtain existence and approximation results for closedcomplex subvarieties that are normalized by strongly pseudoconvex Steindomains. Our sufficient condition for the existence of such subvarieties in a complex manifold $X$ is expressed in terms of the Morse indices andthe number of positive Levi eigenvalues of an exhaustion function on $X$. Examples show that our conditions cannot be weakened in general. Weobtain optimal results for subvarieties of this type in complements ofcompact complex submanifolds with Griffiths positive normal bundle; inthe projective case these generalize classical theorems of Remmert,Bishop and Narasimhan concerning proper holomorphic maps and embeddingsto ${Bbb C}^n ={Bbb P}^n backslash {Bbb P}^{n-1}$.." @default.
• W2156366090 created "2016-06-24" @default.
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• W2156366090 date "2010-01-01" @default.
• W2156366090 modified "2023-09-25" @default.
• W2156366090 title "Strongly pseudoconvex domains as subvarieties of complex manifolds" @default.
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• W2156366090 doi "https://doi.org/10.1353/ajm.0.0106" @default.
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