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arXiv · 2312.17614

Visibility domains that are not pseudoconvex

Annapurna Banik
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Abstract

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.

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Annapurna Banik. 2023-12-29. Visibility domains that are not pseudoconvex. https://doi.org/10.1016/j.bulsci.2024.103452

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