Coordinates ofR[x,y]: Constructions and Classifications

DOI10.1080/00927872.2012.700981zbMath1284.14085arXiv1206.5876OpenAlexW2094673562MaRDI QIDQ2863675

Eric Edo

Publication date: 25 November 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5876

zbMATH Keywords

tamelengthpolynomial automorphismcoordinatevariable

Mathematics Subject Classification ID

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

Related Items (5)

Normal subgroups generated by a single polynomial automorphism ⋮ The affine automorphism group of \(\mathbb{A}^{3}\) is not a maximal subgroup of the tame automorphism group ⋮ Stably co-tame polynomial automorphisms over commutative rings ⋮ Co-tame polynomial automorphisms ⋮ Some co-tame automorphisms of affine spaces

Cites Work

• The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic
• Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n\)]
• On the variety of automorphisms of the affine plane
• Combinatorial methods. Free groups, polynomials, and free algebras
• Polynomial automorphisms and the Jacobian conjecture
• Stably tame coordinates
• Totally stably tame variables
• Some families of polynomial automorphisms
• Length 2 variables of A[x,y and transfer]
• ON GENERATORS OF THE TAME INVERTIBLE POLYNOMIAL MAPS GROUP
• Dynamical properties of plane polynomial automorphisms
• Kernel of locally nilpotent 𝑅-derivations of 𝑅[𝑋,𝑌]
• Tame and Wild Coordinates of 𝐾[𝑧[𝑥,𝑦]]
• The strong Nagata conjecture
• Über ganze birationale Transformationen der Ebene.
• Derivations having divergence zero on \(R[X,Y\).]

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