Planes of the form \(b(X,Y)Z^n-a(X,Y)\) over a DVR

DOI10.1216/JCA-2011-3-4-491zbMath1252.13004arXiv2002.02118MaRDI QIDQ412560

Prosenjit Das, Amartya K. Dutta

Publication date: 4 May 2012

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02118

zbMATH Keywords

discrete valuation ringepimorphism theoremsresidual variable

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Valuation rings (13F30)

Related Items (3)

The epimorphism theorem and its generalizations ⋮ The Zariski cancellation problem and related problems in affine algebraic geometry ⋮ On cancellation of variables of the form \(b T^n - a\) over affine normal domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized epimorphism theorem
• On the \(R\)-invariance of \(R[X\)]
• Locally polynomial algebras are symmetric algebras
• Cancellation of variables of the form \(bT^n-a\)
• On finding and cancelling variables in k[X,Y,Z]
• Linear planes over a discrete valuation ring
• Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
• On the uniqueness of the coefficient ring in a polynomial ring
• On residual variables and stably polynomial algebras
• On Linear Planes
• On plane curves with one place at infinity.
• On separable A¹-forms
• Über ganze birationale Transformationen der Ebene.

This page was built for publication: Planes of the form \(b(X,Y)Z^n-a(X,Y)\) over a DVR