THE JACOBIAN CONJECTURE: STRUCTURE OF KELLER MAPPINGS

Abstract

The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f : R n → R n (C n → C n ) under the assumption that Jf ≡ const 6= 0. In this paper, we consider the structure of polynomial mappings f with Jf ≡ const 6= 0.

Keywords

• jacobian conjecture
• keller mapping