2015/01/27 by Vered Moskowicz, Moskowicz, Vered · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1501.06905
openalex publication_date 2015/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The famous Jacobian conjecture asks if a morphism f:K[x,y]→ K[x,y] having an invertible Jacobian is invertible (K is a characteristic zero field). We show that if one of the following three equivalent conditions is satisfied, then f is invertible: K[f(x),f(y)][x+y] is normal; K[x,y] is flat over K[f(x),f(y)][x+y]; K[f(x),f(y)][x+y] is separable over K[f(x),f(y)].