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Acta Mathematica Vietnamica

THE JACOBIAN CONJECTURE FOR RATIONAL POLYNOMIALS

icon-email LÊ DŨNG TRÁNG

Abstract

In this paper we consider the Jacobian conjecture in dimension 2 over the field $\mathbb C$ of complex numbers, when one of the two polynomial functions has generic rational fibers. We call rational polynomials polynomials whose general fiber is a non-singular rational curve.