Acta Mathematica Vietnamica
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ATYPICAL VALUES AT INFINITY OF POLYNOMIAL AND RATIONAL FUNCTIONS ON AN ALGEBRAIC SURFACE IN $\mathbb R^n$
HA HUY VUI, NGUYEN THI THAOpp. 537-553
Abstract
We consider polynomial and rational functions defined on an algebraic surface in $\mathbb R^n$ and we characterize values which are atypical at infinity due to singularities at infinity. This characterization gives an upper bound of the number of atypical values at infinity.