Corpus ID: 208617373

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}
}
  • J'er'emy Blanc, Immanuel van Santen
  • Published 2019
  • Mathematics
  • 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

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 23 REFERENCES

    vol

    • Arno van den Essen, Polynomial automorphisms, the Jacobian conjecture, Progress in Mathematics
    • 190, Birkhäuser Verlag, Basel,
    • 2000

    L

    • H. Flenner
    • O’Carroll, and W. Vogel, Joins and intersections, Springer Monographs in Mathematics, Springer-Verlag, Berlin,
    • 1999

    Dynamical degree of affine-triangular automorphisms of the affine space

    • Jérémy Blanc, Immanuel van Santen
    • https://arxiv.org/abs/1912.01324,
    • 2019
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL