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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The author would like to thank Adrien Dubouloz for helpful comments and discussions.
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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
Keywords
- Gizatullin surfaces
- Holomorphic automorphisms
- Holomorphic flexibility
- Elliptic manifolds
- Density property
- Andersen–Lempert theory