On separable A1-forms

DOI10.1017/S0027763000007418zbMath0962.13016OpenAlexW1502774799MaRDI QIDQ4519045

Amartya K. Dutta

Publication date: 3 December 2000

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000007418

zbMATH Keywords

polynomial ringprojective modulesymmetric algebraweak normality

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

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On the triviality of a family of linear hyperplanes ⋮ Planes of the form \(b(X,Y)Z^n-a(X,Y)\) over a DVR ⋮ The Zariski cancellation problem and related problems in affine algebraic geometry ⋮ On generalised Danielewski and Asanuma varieties ⋮ A criterion to determine residual coordinates of \(\mathbb{A}^{2}\)-fibrations ⋮ ON SEPARABLE AND -FORMS ⋮ On cancellation of variables of the form \(b T^n - a\) over affine normal domains

Cites Work

• On weak normality and symmetric algebras
• Polynomial ring in two variables over a D.V.R.: A criterion
• On the absence of nontrivial separable forms of the affine plane