International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 4, Pages 243-246

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

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.


Let f:11 be a rational map of degree d. It is well known that f has d zeros and 2d2 critical points counted with multiplicities. In this note, we explain how those zeros and those critical points are related.