Every connected bounded domain of holomorphy has connected boundary

2023/08/04 by Alexander J. Izzo, Izzo, Alexander J.
Mathematics · #32D05 #32T05 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2308.08551

openalex publication_date 2023/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that every connected, bounded domain of holomorphy in ℂⁿ, n≥ 2, has connected boundary.

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