Holomorphic mappings between pseudoellipsoids in different dimensions
Peter Ebenfelt, Duong Ngoc Son
TL;DR
This paper characterizes when nondegenerate holomorphic mappings exist between pseudoellipsoids of different dimensions and provides explicit parametrizations for all such mappings.
Contribution
It establishes a necessary and sufficient condition for these mappings and offers explicit formulas, advancing understanding of pseudoellipsoid mappings.
Findings
Derived a necessary and sufficient condition for mappings
Provided explicit parametrizations of all such mappings
Clarified the structure of holomorphic mappings between pseudoellipsoids
Abstract
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).
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