Domains in complex surfaces with a non compact automorphism group - II

2011/10/18 by Kaushal Verma, Verma, Kaushal
Mathematics · #32M12 #32M99 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #msc:32M12 #msc:32M99

paper · pdf · doi:10.48550/arxiv.1110.3926

arxiv created 2011/10/18 · openalex publication_date 2011/10/18 · arxiv updated 2011/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be an arbitrary complex surface and D ⊂ X a domain that has a non compact group of holomorphic automorphisms. A characterization of those domains D that admit a smooth real analytic, finite type boundary orbit accumulation point and whose closures are contained in a complete hyperbolic domain D'⊂ X is obtained.

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