Abstract
The principal topic of this paper is non-degenerate (in the sense of Levi) hypersurfaces of complex manifolds and the automorphisms of such hypersur-faces. The material on strictly pseudoconvex hypersurfaces is presented most completely. We discuss in detail a form of writing the equations of the hyper-surface which allows one to carry out a classification of hypersurfaces. Certain biholomorphic invariants of hypersurfaces are considered. Especially, we consider in detail a biholomorphically invariant family of curves called chains. A lot of attention is given to constructing a continuation of a holomorphic mapping.
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Vitushkin, A.G. (1997). Holomorphic Mappings and the Geometry of Hypersurfaces. In: Introduction to Complex Analysis. Encyclopaedia of Mathematical Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61525-2_4
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