On the degree of the inverse of an automorphism of the affine space

DOI10.1016/S0022-4049(97)00098-4zbMath0935.14007MaRDI QIDQ1295579

Jean-Philippe Furter

Publication date: 4 May 2000

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

zbMATH Keywords

polynomial automorphismjacobian conjecture

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Morphisms of commutative rings (13B10)

Related Items (3)

Nilpotency indices, degrees of iterations of affine triangular automorphisms, and Schubert calculus ⋮ The Jacobian conjecture for symmetric Jacobian matrices. ⋮ Inverse degree of an affine space triangular automorphism

Cites Work

• A Jacobian criterion for separability
• A remark on the two-dimensional Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Strong nilpotence holds in dimensions up to five only^∗
• A counterexample to a conjecture of Drużkowski and Rusek
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