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Balakumar, G. P.

Model domains in \(\mathbb{C}^{3}\) with abelian automorphism group. (English) Zbl 1288.32028

Complex Var. Elliptic Equ. 59, No. 3, 369-411 (2014).
Summary: It is shown that every hyperbolic rigid polynomial domain in \(\mathbb{C}^{3}\) of finite-type, with abelian automorphism group, is equivalent to a domain that is balanced with respect to some weight.

MSC:

32M05 Complex Lie groups, group actions on complex spaces
32M17 Automorphism groups of \(\mathbb{C}^n\) and affine manifolds

Keywords:

rigid polynomial domains; noncompact automorphism group
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References:

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