On the closure of the tame automorphism group of affine three-space

Eric Edo; Pierre-Marie Poloni

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arXiv · 1403.2843

On the closure of the tame automorphism group of affine three-space

Eric Edo·Pierre-Marie Poloni

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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 $\C^3$ is not closed, when the latter is seen as an infinite dimensional algebraic group.tomorphism group of affine three-space

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Eric Edo, Pierre-Marie Poloni. 2014-07-22. On the closure of the tame automorphism group of affine three-space. https://arxiv.org/abs/1403.2843

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