A generalization of the Shestakov-Umirbaev inequality

DOI10.2969/jmsj/06020495zbMath1144.14046arXiv0707.1361OpenAlexW2963093174MaRDI QIDQ930634

Shigeru Kuroda

Publication date: 1 July 2008

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

Full work available at URL: https://arxiv.org/abs/0707.1361

zbMATH Keywords

polynomial automorphismsdegree estimatetame generators problem

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Differential algebra (12H05)

Related Items

Weighted multidegrees of polynomial automorphisms over a domain ⋮ Dependence between homogeneous components of polynomials with small degree of Poisson bracket ⋮ Derivations of \(R[X,Y,Z\) with a slice] ⋮ How to Prove the Wildness of Polynomial Automorphisms: An Example ⋮ The tame and the wild automorphisms of an affine quadric threefold ⋮ Separability of wild automorphisms of a polynomial ring ⋮ Stable tameness of two-dimensional polynomial automorphisms over a regular ring ⋮ On the Karaś type theorems for the multidegrees of polynomial automorphisms ⋮ Combinatorics of the tame automorphism group ⋮ Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism ⋮ Automorphisms of a polynomial ring which admit reductions of type I

Cites Work

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• Stably tame automorphisms
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• Über ganze birationale Transformationen der Ebene.