Kraft, Hanspeter and Stampfli, Immanuel. (2013) Automorphisms of the affine Cremona group. Annales de l'Institut Fourier, 63 (3). pp. 1137-1148.
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Abstract
We show that every automorphism of the group Gn := Aut(An) of polynomial automorphisms of complex affine n-space An = Cn is inner up to field automorphisms when restricted to the subgroup TGn of tame automorphisms. This generalizes a result of Julie Deserti who proved this in dimension n = 2 where all automorphisms are tame: TG2 = G2. The methods are different, based on arguments from algebraic group actions.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft) |
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| UniBasel Contributors: | Stampfli, Immanuel and Kraft, Hanspeter |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| ISSN: | 0373-0956 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Language: | English |
| Identification Number: |
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| edoc DOI: | |
| Last Modified: | 18 Oct 2016 13:54 |
| Deposited On: | 18 Oct 2016 13:54 |
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