2018•arXiv (Cornell University)Open access

A classification of proper holomorphic mappings between generalized pseudoellipsoids of different dimensions

Atsushi Hayashimoto

Abstract

We classify proper holomorphic mappings between generalized pseudoellipsoids of different dimensions. Those domains are parametrized by the exponents. The relations among them are also obtained. Main tool is the orthogonal decomposition of a CR bundle. Such a decomposition derives the `variable-splitting' of the mapping.

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Key concepts: Holomorphic function, Mathematics, Identity theorem, Open mapping theorem (functional analysis), Automorphism, Geodesic, Boundary (topology), Pure mathematics