Sets of polynomial rings in two variables and factorizations of polynomial morphisms

DOI10.1016/j.jalgebra.2016.05.006zbMath1352.14040OpenAlexW2429162605MaRDI QIDQ298027

Pierrette Cassou-Noguès, Daniel Daigle

Publication date: 20 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.05.006

zbMATH Keywords

polynomial ringaffine planebirational morphismfield generatorpolynomial morphismrational polynomial

Mathematics Subject Classification ID

Plane and space curves (14H50) Polynomials over commutative rings (13B25) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (1)

Very good and very bad field generators

Cites Work

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• Good and bad field generators
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• Compositions of birational endomorphisms of the affine plane
• Generally rational polynomials in two variables
• Very good and very bad field generators
• Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials]
• On the uniqueness of the coefficient ring in a polynomial ring
• Field generators in two variables and birational endomorphisms of 𝔸²
• Plane Frobenius Sandwiches of Degree p
• Plane Frobenius Sandwiches
• The Theorem of BERTINI on Linear Systems in Modular Fields.

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