A characterization of semisimple plane polynomial automorphisms

DOI10.1016/j.jpaa.2009.06.004zbMath1196.14056arXiv0804.2157OpenAlexW1981959242MaRDI QIDQ847143

Jean-Philippe Furter, Stefan Maubach

Publication date: 12 February 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2157

zbMATH Keywords

diagonalizable automorphismsinfinite dimensional algebraic varietiessemisimple polynomial automorphismsZariski closed sets

Mathematics Subject Classification ID

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

Related Items (4)

Dixmier groups and Borel subgroups ⋮ Families of group actions, generic isotriviality, and linearization ⋮ Polynomial composition rigidity and plane polynomial automorphisms ⋮ Three chapters on Cremona groups

Cites Work

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• Quasi-locally finite polynomial endomorphisms
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• Plane polynomial automorphisms of fixed multidegree
• Pro-affine algebras, ind-affine groups and the Jacobian problem. Appendix: Linear compactness for rings and modules
• Automorphism group of a polynomial ring and algebraic group action on an affine space
• The red book of varieties and schemes
• On the degree of iterates of automorphisms of the affine plane
• Some basic results on pro-affine algebras and ind-affine schemes
• The complexity of the word problems for commutative semigroups and polynomial ideals
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Dynamical properties of plane polynomial automorphisms
• Constructions in Algebra
• Geometric Invariant Theory
• Über ganze birationale Transformationen der Ebene.
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