On Automorphisms of the Affine Cremona Group
Hanspeter Kraft, Immanuel Stampfli (2013)
Annales de l’institut Fourier
Similarity:
We show that every automorphism of the group of polynomial automorphisms of complex affine -space is inner up to field automorphisms when restricted to the subgroup of tame automorphisms. This generalizes a result of Julie Deserti who proved this in dimension where all automorphisms are tame: . The methods are different, based on arguments from algebraic group actions.