Polynomial maps with constant Jacobian

DOI10.1007/BF02764906zbMath0406.13006WikidataQ56481531 ScholiaQ56481531MaRDI QIDQ1257514

Michael J. Razar

Publication date: 1979

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bases in Polynomial RingsJacobian Determinant

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in general fields (irreducibility, etc.) (12E05) Jacobians, Prym varieties (14H40) Polynomials over commutative rings (13B25)

Related Items (8)

On some conditions for a polynomial map with constant Jacobian to be invertible ⋮ Jacobian pairs and Hamiltonian flows ⋮ The Jacobian conjecture: Reduction of degree and formal expansion of the inverse ⋮ Jacobian pairs of two rational polynomials are automorphisms ⋮ On the Jacobian Conjecture ⋮ Automorphisms of polynomial and power series rings ⋮ Nontrivial rational polynomials in two variables have reducible fibres ⋮ A construction in the theory of projection algebras

Cites Work

• A condition for a polynomial map to be invertible
• Über ganze birationale Transformationen der Ebene.
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