Tame and Wild Coordinates of 𝐾[𝑧][𝑥,𝑦]

DOI10.1090/S0002-9947-00-02617-9zbMath0965.13008OpenAlexW1525960867MaRDI QIDQ4517451

Jie-Tai Yu, Vesselin Drensky

Publication date: 22 November 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02617-9

zbMATH Keywords

automorphismpolynomial ringtame automorphismNagata example

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Jacobian problem (14R15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials over commutative rings (13B25) Morphisms of commutative rings (13B10)

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Tame and wild coordinates of \(\mathbb Z[x,y\).], New bad lines in \(R[x,y\) and optimization of the epimorphism theorem], The Linear Coordinate Preserving Problem, Adapting coordinates, Coordinates and automorphisms of polynomial and free associative algebras of rank three., The Strong Anick Conjecture, TAME AUTOMORPHISMS FIXING A VARIABLE OF FREE ASSOCIATIVE ALGEBRAS OF RANK THREE, Stable tameness of coordinates in two variables, Some stably tame polynomial automorphisms, The strong Anick conjecture is true., Totally stably tame variables, The Nagata automorphism is wild, The strong Nagata conjecture, The tame and the wild automorphisms of polynomial rings in three variables, Coordinates in two variables over a $\mathbb {Q}$-algebra, Length Four Polynomial Automorphisms, Automorphisms fixing a variable of \(K\langle x,y,z\rangle\)., Coordinates ofR[x,y: Constructions and Classifications], Two-dimensional stable tameness over Noetherian domains of dimension one, Stably tame coordinates

Cites Work

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