There is no tame automorphism of $\mathbb{C}^{3}$ with multidegree $(3,4,5)$

DOI10.1090/S0002-9939-2010-10779-7zbMath1219.14067arXiv0904.1265OpenAlexW2963188835MaRDI QIDQ3085042

Marek S. Karaś

Publication date: 28 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1265

zbMATH Keywords

multidegreepolynomial automorphismtame automorphism

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (5)

Weighted multidegrees of polynomial automorphisms over a domain ⋮ Dependence between homogeneous components of polynomials with small degree of Poisson bracket ⋮ Separability of wild automorphisms of a polynomial ring ⋮ On multidegrees of tame and wild automorphisms of \(\mathbb C^3\) ⋮ On the Karaś type theorems for the multidegrees of polynomial automorphisms

Cites Work

• Unnamed Item
• The tame and the wild automorphisms of polynomial rings in three variables
• The Nagata automorphism is wild
• Über ganze birationale Transformationen der Ebene.

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