Note on the Jacobian condition and the non-proper value set
Volume 84 / 2004
Annales Polonici Mathematici 84 (2004), 203-210
MSC: Primary 14R15.
DOI: 10.4064/ap84-3-2
Abstract
We show that the non-proper value set of a polynomial map $(P,Q): {{\mathbb C}}^2\rightarrow {{\mathbb C}}^2$ satisfying the Jacobian condition $\mathop {\rm det}D(P,Q)\equiv {\rm const}\not =0$, if non-empty, must be a plane curve with one point at infinity.
