The special automorphism group of \(R[t]/(t^{m})[x_{1},\cdots ,x_{n}]\) and coordinates of a subring of \(R[t][x_{1},\cdots ,x_{n}]\)

DOI10.1016/j.jpaa.2006.09.013zbMath1112.14068OpenAlexW1992672708MaRDI QIDQ878667

Stéphane Vénéreau, Stefan Maubach, A. R. P. van den Essen

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.09.013

Mathematics Subject Classification ID

Jacobian problem (14R15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

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A note on residual coordinates of polynomial rings, Vénéreau-type polynomials as potential counterexamples, Automorphism Groups of Certain Rational Hypersurfaces in Complex Four-Space, Real forms of some Gizatullin surfaces and Koras-Russell threefolds, Stable tameness of two-dimensional polynomial automorphisms over a regular ring, The cancellation problem over Noetherian one-dimensional domains, The tame automorphism group in two variables over basic Artinian rings, Noncancellation for contractible affine threefolds

Cites Work

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• Polynomials with general \(\mathbb{C}^ 2\)-fibers are variables.
• New bad lines in \(R[x,y\) and optimization of the epimorphism theorem]
• Polynomial automorphisms and the Jacobian conjecture
• The commuting derivations conjecture
• Vénéreau polynomials and related fiber bundles
• Simple birational extensions of the polynomial algebra ℂ^{[3}]
• The Automorphism Group Of