Plane polynomial automorphisms of fixed multidegree
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Publication:1006806
DOI10.1007/s00208-008-0296-2zbMath1187.14064OpenAlexW2002272035MaRDI QIDQ1006806
Publication date: 26 March 2009
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-008-0296-2
Birational automorphisms, Cremona group and generalizations (14E07) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Automorphisms of surfaces and higher-dimensional varieties (14J50)
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Cites Work
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- Pro-affine algebras, ind-affine groups and the Jacobian problem. Appendix: Linear compactness for rings and modules
- Imbedding of an abstract variety in a complete variety
- Abelian subgroups of \(Aut_ k(\)k[X,Y) and applications to actions on the affine plane]
- On finding and cancelling variables in k[X,Y,Z]
- The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
- Quantization of quadratic Poisson brackets on a polynomial algebra of three variables
- On the variety of automorphisms of the affine plane
- Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
- Some basic results on pro-affine algebras and ind-affine schemes
- Polynomial automorphisms and the Jacobian conjecture
- On the length of polynomial automorphisms of the affine plane
- Some families of polynomial automorphisms
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
- Dynamical properties of plane polynomial automorphisms
- On Linear Planes
- Geometric Invariant Theory
- Polynomial composition rigidity and plane polynomial automorphisms
- Über ganze birationale Transformationen der Ebene.
- Algebraic theory of locally nilpotent derivations