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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Holomorphic automorphisms of Danielewski surfaces I — density of the group of overshears
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by Frank Kutzschebauch and Andreas Lind PDF
Proc. Amer. Math. Soc. 139 (2011), 3915-3927 Request permission

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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Additional Information
  • Frank Kutzschebauch
  • Affiliation: Institute of Mathematics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
  • MR Author ID: 330461
  • Email: Frank.Kutzschebauch@math.unibe.ch
  • Andreas Lind
  • Affiliation: Department of Mathematics, Mid Sweden University, SE-851 70 Sundsvall, Sweden
  • Email: Andreas.Lind@miun.se
  • Received by editor(s): April 22, 2010
  • Received by editor(s) in revised form: April 29, 2010, and September 6, 2010
  • Published electronically: March 10, 2011
  • Communicated by: Franc Forstnerič
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 3915-3927
  • MSC (2010): Primary 32Q28; Secondary 32M17
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10855-4
  • MathSciNet review: 2823038