JACOBIAN CONJECTURE, TWO-DIMENSIONAL CASE

Abstract

The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f: R^n → R^n (C^n → C^n) provided that jacobian J_f ≡ const ≠ 0. In this note we consider structure of polynomial mappings f that provide J_f ≡ const ≠ 0.

Keywords

• Jacobian conjecture