Field generators in two variables and birational endomorphisms of 𝔸2

DOI10.1142/S0219498815400058zbMath1329.14111arXiv1906.08614MaRDI QIDQ2947368

Daniel Daigle, Pierrette Cassou-Noguès

Publication date: 22 September 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08614

zbMATH Keywords

plane curveaffine planebirational morphismfield generatorrational polynomialdicritical

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (2)

Sets of polynomial rings in two variables and factorizations of polynomial morphisms ⋮ Very good and very bad field generators

Cites Work

• Rational polynomials of simple type.
• Dicritical divisors and Jacobian problem
• Good and bad field generators
• Compositions of birational endomorphisms of the affine plane
• Generically rational polynomials of quasi-simple type

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