Edo, Éric; Poloni, Pierre-Marie (2014). On the Closure of the Tame Automorphism Group of Affine Three-Space. International Mathematics Research Notices, 2015(19), pp. 9736-9750. Oxford University Press 10.1093/imrn/rnu237
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We provide explicit families of tame automorphisms of the complex affine three-space which degenerate to wild automorphisms. This shows that the tame subgroup of the group of polynomial automorphisms of C3 is not closed, when the latter is seen as an infinite-dimensional algebraic group.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Poloni, Pierre-Marie |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1073-7928 |
Publisher: |
Oxford University Press |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
24 Jun 2016 09:48 |
Last Modified: |
05 Dec 2022 14:56 |
Publisher DOI: |
10.1093/imrn/rnu237 |
ArXiv ID: |
1403.2843v2 |
BORIS DOI: |
10.7892/boris.82554 |
URI: |
https://boris.unibe.ch/id/eprint/82554 |