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
Université Paul Sabatier, Laboratoire Emile Picard, 118, Route de Narbonne, Toulouse Cedex 31062, France
Received 23 January 2001
Copyright © 2001 Xavier Buff. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.