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arXiv · 1609.04487

On biholomorphisms between bounded quasi-Reinhardt domains

Fusheng Deng·Feng Rong
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Abstract

In this paper, we define what is called a quasi-Reinhardt domain and study biholomorphisms between such domains. We show that all biholomorphisms between two bounded quasi-Reinhardt domains fixing the origin are polynomial mappings, and we give a uniform upper bound for the degree of such polynomial mappings. In particular, we generalize the classical Cartan's linearity theorem for circular domains to quasi-Reinhardt domains.

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Fusheng Deng, Feng Rong. 2016-09-15. On biholomorphisms between bounded quasi-Reinhardt domains. https://doi.org/10.1007/s10231-015-0492-0

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