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Real-analytic hypersurfaces in complex manifolds. (English. Russian original) Zbl 0588.32025
Russ. Math. Surv. 40, No. 2, 1-35 (1985); translation from Usp. Mat. Nauk 40, No. 2, 3-31 (1985).
This paper is a survey of some properties of real-analytic hypersurface in \({\mathbb{C}}^ n\). The main recent results discussed in this survey are properties of non-spherical (i.e. non holomorphically equivalent to a sphere) strictly pseudoconvex compact hypersurfaces: holomorphic continuation of germs of maps to a common neighborhood, compactness of the group of automorphisms, local linearization of this group.
Reviewer: G.Roos

MSC:
32V40 Real submanifolds in complex manifolds
32C05 Real-analytic manifolds, real-analytic spaces
32M05 Complex Lie groups, group actions on complex spaces
32D15 Continuation of analytic objects in several complex variables
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