Work

On horn-shaped Reinhardt domains

Year: 2026

Type: preprint

Abstract: In this paper, we introduce a new class of unbounded Reinhardt domains in $\mathbb C^n$ ($n\geq 2$),which we call horn domains. We study the dimensions of the Bergman spaces,the holomorphic sectional curvature of the Bergman metric, and the holomorphic equivalence problem for such horn Reinhardt domains.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.17527

Authors: Hayashida, Chika, Kamimoto, Joe, Van Thu, Ninh

Institution: Kyushu University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Foundation for Science and Technology Development, Japan Society for the Promotion of Science

Award: Về các metric bất biến trên miền giả lồi trong C^n

OpenAlex ID: W7221825564

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