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

2018/09/11 by Atsushi Hayashimoto, Hayashimoto, Atsushi
Mathematics · Physics and Astronomy · #32H35 32V15 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Nonlinear Waves and Solitons #math.CV #msc:32H35 #msc:32V15

paper · pdf · doi:10.48550/arxiv.1809.03691

15 pages

arxiv created 2018/09/11 · openalex publication_date 2018/09/11 · arxiv updated 2018/09/12 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28

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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