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Finitely smooth Reinhardt domains with non-compact automorphism group

1996/06/21 by Alexander Isaev, A. V. Isaev, Isaev, A. V. +3
Computer Science · Mathematics · #32 #Advanced Mathematical Modeling in Engineering #Advanced Operator Algebra Research #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #math.CV #msc:32

paper · pdf · doi:10.48550/arxiv.math/9606201

arxiv created 1996/06/21 · openalex publication_date 1996/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a complete description of bounded Reinhardt domains of finite boundary smoothness that have non-compact automorphism group. As part of this program, we show that the classification of domains with non-compact automorphism group and having only finite boundary smoothness is considerably more complicated than the classification of such domains that have infinitely smooth boundary.

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