Automorphisms of the affine Cremona group

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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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)
UniBasel Contributors:Stampfli, Immanuel and Kraft, Hanspeter
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:18 Oct 2016 13:54
Deposited On:18 Oct 2016 13:54

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