Automorphisms of the affine Cremona group
Date Issued
2013-01-01
Author(s)
Stampfli, Immanuel
DOI
10.5802/aif.2785
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.
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