Holomorphic automorphisms of Danielewski surfaces I — density of the group of overshears

Kutzschebauch, Frank; Lind, Andreas

doi:10.1090/S0002-9939-2011-10855-4

Holomorphic automorphisms of Danielewski surfaces I — density of the group of overshears
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by Frank Kutzschebauch and Andreas Lind

Proc. Amer. Math. Soc. 139 (2011), 3915-3927

DOI: https://doi.org/10.1090/S0002-9939-2011-10855-4

Published electronically: March 10, 2011

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Abstract:

We define the notion of shears and overshears on a Danielewski surface. We show that the group generated by shears and overshears is dense (in the compact open topology) in the path-connected component of the identity of the holomorphic automorphism group.

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