Matrix identities connected with the jacobian conjecture

1994/01/21 by Tadeusz Krasinński, Krasinński, Tadeusz
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Theories and Applications #Algebraic Geometry (math.AG) #FOS: Mathematics #Graph theory and applications #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9401004

9 pages, AmS TeX Version 2.0

arxiv created 1994/01/21 · openalex publication_date 1994/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We give necessary and sufficient conditions, in the form of matrix identities, for a polynomial f in C[X,Y] to be a component of a polynomial automorphism of C² and to be a component of a Keller polynomial mapping of C², respectively ((f,g) is a Keller polynomial mapping iff Jac(f,g) = 1).

Related

• Some Results On The Jacobian Conjecture And Polynomial Automorphisms
• On mappings with Jacobian one
• Algebroids and Jacobian conjecture
• Injectivity of Keller Mappings
• Irreducibility properties of Keller maps