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On the closure of the tame automorphism group of affine three-space (1403.2843v2)
Published 12 Mar 2014 in math.AG
Abstract: 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.tomorphism group of affine three-space