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Geometric properties and related results for holomorphic Segre preserving maps. (English) Zbl 1254.32004

Summary: We examine holomorphic Segre preserving maps between the complexifications of real analytic hypersurfaces in \(\mathbb C^{n+1}\). In particular, we find several sufficient conditions ensuring that Segre transversality and total Segre nondegeneracy of the maps must hold.

MSC:

32A10 Holomorphic functions of several complex variables
32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
32V40 Real submanifolds in complex manifolds
32V35 Finite-type conditions on CR manifolds
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