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A characterization of domains in C 2 with noncompact automorphism group

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Abstract

Let D be a bounded domain in C 2 with a non-compact group of holomorphic automorphisms. Model domains for D are obtained under the hypotheses that at least one orbit accumulates at a boundary point near which the boundary is smooth, real analytic and of finite type.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Science, Bangalore, 560 012, India

    Kaushal Verma

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  1. Kaushal Verma
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Correspondence to Kaushal Verma.

Additional information

The author was supported by DST (India) Grant No.: SR/S4/MS-283/05 and in part by a grant from UGC under DSA-SAP, Phase IV.

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Verma, K. A characterization of domains in C 2 with noncompact automorphism group. Math. Ann. 344, 645–701 (2009). https://doi.org/10.1007/s00208-008-0321-5

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