Geometric properties and related results for holomorphic Segre preserving maps

Mathematics – Complex Variables

Scientific paper

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18 pages

Scientific paper

In this paper, we examine holomorphic Segre preserving maps between the
complexifications of real 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.

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