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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 4, Pages 243-246
doi:10.1155/S0161171201011589

On the zeros and critical points of a rational map

Xavier Buff

Université Paul Sabatier, Laboratoire Emile Picard, 118, Route de Narbonne, Toulouse Cedex 31062, France

Abstract

Let f:ℙ1→ℙ1 be a rational map of degree d. It is well known that f has d zeros and 2d−2 critical points counted with multiplicities. In this note, we explain how those zeros and those critical points are related.