PreprintCC BY 4.0arXiv
On horn-shaped Reinhardt domains
Abstract
In this paper, we introduce a new class of unbounded Reinhardt domains in ℂn (n≥ 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.
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BibTeX
@misc{hayashida2026hornshaped,
title = {{On horn-shaped Reinhardt domains}},
author = {Chika Hayashida and Joe Kamimoto and Ninh Van Thu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17527},
eprint = {2610.17527},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17527},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On horn-shaped Reinhardt domains
AU - Chika Hayashida
AU - Joe Kamimoto
AU - Ninh Van Thu
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.17527
UR - https://arxiv.org/abs/2610.17527
AB - In this paper, we introduce a new class of unbounded Reinhardt domains in ℂ^n (n≥ 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.
ER -