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Serre Problem for Unbounded Pseudoconvex Reinhardt Domains in ℂ2

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Abstract

We give a characterization of non-hyperbolic pseudoconvex Reinhardt domains in ℂ2 for which the answer to the Serre problem is positive. Moreover, all non-hyperbolic pseudoconvex Reinhardt domains in ℂ2 with non-compact automorphism group are explicitly described.

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Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet Jagielloński, Łojasiewicza 6, 30-348, Kraków, Poland

    Łukasz Kosiński

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  1. Łukasz Kosiński
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Correspondence to Łukasz Kosiński.

Additional information

Communicated by Alexander Isaev.

Research partially supported by the KBN grant N° N N201 271435 and by the foundation of A. Krzyżanowski.

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Kosiński, Ł. Serre Problem for Unbounded Pseudoconvex Reinhardt Domains in ℂ2 . J Geom Anal 21, 902–919 (2011). https://doi.org/10.1007/s12220-010-9172-x

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  • DOI: https://doi.org/10.1007/s12220-010-9172-x

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