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The Density Property for Gizatullin Surfaces with Reduced Degenerate Fibre

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Abstract

All Gizatullin surfaces that admit such a \({\mathbb {C}}^+\)-action, for which the quotient is a \({\mathbb {C}}^1\)-fibration with a reduced degenerate fibre, have the density property. This result includes all previously known results for the density property of affine surfaces as special cases. We also give a description of the identity component of the group of holomorphic automorphisms of these surfaces.

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Acknowledgements

The author would like to thank Adrien Dubouloz for helpful comments and discussions.

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  1. School of Mathematics and Natural Sciences, University of Wuppertal, Wuppertal, Germany

    Rafael  B.  Andrist

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  1. Rafael  B.  Andrist
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Correspondence to Rafael  B.  Andrist.

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 Andrist, R. . The Density Property for Gizatullin Surfaces with Reduced Degenerate Fibre. J Geom Anal 28, 2522–2538 (2018). https://doi.org/10.1007/s12220-017-9916-y

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  • DOI: https://doi.org/10.1007/s12220-017-9916-y

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