Some stably tame polynomial automorphisms

DOI10.1016/j.jpaa.2008.05.007zbMath1159.13004arXiv0809.0535OpenAlexW2047003591MaRDI QIDQ952252

Sooraj Kuttykrishnan

Publication date: 11 November 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0535

zbMATH Keywords

automorphisms of polynomial algebrasNagata automorphismstably tame automorphisms

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Polynomials over commutative rings (13B25) Morphisms of commutative rings (13B10) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (1)

Length Four Polynomial Automorphisms

Cites Work

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• Stable tameness of two-dimensional polynomial automorphisms over a regular ring
• Stably tame automorphisms
• Polynomial automorphisms and the Jacobian conjecture
• Stably tame coordinates
• Totally stably tame variables
• Length 2 variables of A[x,y and transfer]
• The amalgamated free product structure of 𝐺𝐿₂(𝐾[𝑋₁,⋯,𝑋_{𝑛})]
• Tame and Wild Coordinates of 𝐾[𝑧[𝑥,𝑦]]
• The Nagata automorphism is wild
• Über ganze birationale Transformationen der Ebene.

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