Multidegrees of tame automorphisms in dimension three

DOI10.2977/PRIMS/64zbMath1259.14056OpenAlexW2029030501MaRDI QIDQ409064

Yan Chen, Xiaosong Sun

Publication date: 12 April 2012

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/64

zbMATH Keywords

polynomial mapsmultidegreestame automorphisms

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 ⋮ Quadratic tame generators problem of rank three ⋮ Separability of wild automorphisms of a polynomial ring ⋮ On the Karaś type theorems for the multidegrees of polynomial automorphisms

Cites Work

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• Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism
• Tame automorphisms of \(\mathbb C^3\) with multidegree of the form \((3,d_{2},d_{3})\)
• Automorphisms of a polynomial ring which admit reductions of type I
• Polynomial automorphisms and the Jacobian conjecture
• Tame Automorphisms of C³with Multidegree of the Form (p₁,p₂,d₃)
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• Über ganze birationale Transformationen der Ebene.
• On a Problem of Partitions

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