# Automorphisms of the affine 3-space of degree 3.

@inproceedings{Blanc2019AutomorphismsOT, title={Automorphisms of the affine 3-space of degree 3.}, author={J'er'emy Blanc and Immanuel van Santen}, year={2019} }

In this article we give two explicit families of automorphisms of degree $\leq 3$ of the affine $3$-space $\mathbb{A}^3$ such that each automorphism of degree $\leq 3$ of $\mathbb{A}^3$ is a member of one of these families up to composition of affine automorphisms at the source and target; this shows in particular that all of them are tame. As an application, we give the list of all dynamical degrees of automorphisms of degree $\leq 3$ of $\mathbb{A}^3$; this is a set of $3$ integers and $9… CONTINUE READING

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