Simple birational extensions of the polynomial algebra ℂ^{[3]}

DOI10.1090/S0002-9947-03-03398-1zbMath1041.14026OpenAlexW2129992497MaRDI QIDQ4433106

Stéphane Vénéreau, Shulim Kaliman, Mikhail Zaidenberg

Publication date: 29 October 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03398-1

zbMATH Keywords

affine spacelinearization problempolynomial automorphismbirational extensionaffine modificationAbhyankar-Sathaye problem

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Affine fibrations (14R25)

Related Items (10)

A note on residual coordinates of polynomial rings ⋮ Vénéreau-type polynomials as potential counterexamples ⋮ The special automorphism group of \(R[t/(t^{m})[x_{1},\cdots ,x_{n}]\) and coordinates of a subring of \(R[t][x_{1},\cdots ,x_{n}]\)] ⋮ The epimorphism theorem and its generalizations ⋮ Strongly Residual Coordinates over A[x] ⋮ Cancellation ⋮ On the triviality of a family of linear hyperplanes ⋮ A unified approach to embeddings of a line in 3-space ⋮ Affine Space Fibrations ⋮ On the family of affine threefolds

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