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ℂ* -Surfaces with one-dimensional holomorphic hull

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Abstract

LetX be a holomorphically convex complex surface that admits an action of the group ℂ* and letp : X → Y be the holomorphic hull. In this article we consider the case thatY is a complex curve and present an equivariant classification of the surfacesX in this situation. Together with existing classifications of Stein resp. compact ℂ*-surfaces, these results provide a complete description of the geometry of holomorphically convex ℂ*-surfaces.

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Authors and Affiliations

  1. Fakultät für Mathematik, Informatik der Universität Konstanz, Fach D197, D-78457, Konstanz, Germany

    W. Glas & J. Hausen

Authors
  1. W. Glas
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  2. J. Hausen
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Correspondence to W. Glas or J. Hausen.

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Glas, W., Hausen, J. ℂ* -Surfaces with one-dimensional holomorphic hull. Abh.Math.Semin.Univ.Hambg. 68, 255–271 (1998). https://doi.org/10.1007/BF02942565

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  • DOI: https://doi.org/10.1007/BF02942565

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