Visibility domains that are not pseudoconvex
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866918037778595840 |
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| author | Banik, Annapurna |
| author_facet | Banik, Annapurna |
| contents | The earliest examples of visibility domains, given by Bharali--Zimmer, are pseudoconvex. In fact, all known examples of visibility domains are pseudoconvex. We show that there exist non-pseudoconvex visibility domains. We supplement this proof by a general method to construct a wide range of non-pseudoconvex, hence non-Kobayashi-complete, visibility domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17614 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Visibility domains that are not pseudoconvex Banik, Annapurna Complex Variables 32F45, 32T05 (Primary) 32Q45 (Secondary) The earliest examples of visibility domains, given by Bharali--Zimmer, are pseudoconvex. In fact, all known examples of visibility domains are pseudoconvex. We show that there exist non-pseudoconvex visibility domains. We supplement this proof by a general method to construct a wide range of non-pseudoconvex, hence non-Kobayashi-complete, visibility domains. |
| title | Visibility domains that are not pseudoconvex |
| topic | Complex Variables 32F45, 32T05 (Primary) 32Q45 (Secondary) |
| url | https://arxiv.org/abs/2312.17614 |