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Holomorphic mappings between pseudoellipsoids in different dimensions. (English) Zbl 1302.32016

Summary: We give a necessary and sufficient condition for the existence of nondegenerate holomorphic mappings between pseudoellipsoidal real hypersurfaces, and provide an explicit parametrization for the collection of all such mappings (in the situations where they exist).

MSC:

32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
32V30 Embeddings of CR manifolds
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