A characterization of proper regular mappings
Volume 76 / 2001
Annales Polonici Mathematici 76 (2001), 127-138
MSC: Primary 14R99; Secondary 32H35.
DOI: 10.4064/ap76-1-13
Abstract
Let $X$, $Y$ be complex affine varieties and $f:X\to Y$ a regular mapping. We prove that if $\mathop {\rm dim}\nolimits X\ge 2$ and $f$ is closed in the Zariski topology then $f$ is proper in the classical topology.
