On the zeros and critical points of a rational map
type: Item
instance of: scholarly article
title: On the zeros and critical points of a rational map
zbMATH Open document ID: 1007.30006
DOI: 10.1155/S0161171201011589
author: Xavier Buff
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-05-29T00:00:00Z
full work available at URL: https://eudml.org/doc/49818
review text: Let \(f:{\mathbf P}^1\to{\mathbf P}^1\) be a rational map, \(\{\alpha_i\}_{i\in I}\) the set of zeros of \(f\), \(\{w_j\}_{j\in J}\) the set of critical points of \(f\) which are not zeros of \(f\). The paper studies the relations between the points \(\alpha_i\) and the points \(w_j\), weighted with their multiplicities. Some geometrical interpretations of these relations are also given.
reviewed by: Delfina Roux
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 1747567
zbMATH Keywords: rational map
zbMATH Keywords: critical points
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1747567