On automorphisms of quasi-circular domains fixing the origin

Feng Rong

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arXiv · 1403.7769

On automorphisms of quasi-circular domains fixing the origin

Feng Rong

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Abstract

It is known that automorphisms of quasi-circular domains fixing the origin are polynomial mappings. By introducing the so-called resonance order and quasi-resonance order, we provide a uniform upper bound for the degree of such polynomial automorphisms. As a particular consequence of our result, we obtain a generalization of the classical Cartan's theorem for circular domains to the quasi-circular case.

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Feng Rong. 2014-03-30. On automorphisms of quasi-circular domains fixing the origin. https://arxiv.org/abs/1403.7769

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