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On proper holomorphic self-maps of generalized complex ellipsoids

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Abstract

The purpose of this paper is to prove that every proper holomorphic self-mapping of a Reinhardt domain Ω in C n which is a generalization of a complex ellipsoid is biholomorphic. The main novelty of our result is that Ω is a domain in C n such that it is allowed to have a boundary point at which the Levi determinant has infinite order of vanishing.

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  1. Faculty of Engineering, Kyushu Kyoritsu University, 807-8585, Jiyugaoka Yahata-nishiku Kitakyushu, Japan

    Hidetaka Hamada

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  1. Hidetaka Hamada
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Hamada, H. On proper holomorphic self-maps of generalized complex ellipsoids. J Geom Anal 8, 441–446 (1998). https://doi.org/10.1007/BF02921796

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  • DOI: https://doi.org/10.1007/BF02921796

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