Roots of complex polynomials and foci of real algebraic curves

  • Eduardo Casas-Alvero

    Universitat de Barcelona, Spain

Abstract

We give a new proof of results of B. Z. Linfield presenting the roots of the derivative of a complex polynomial as the foci of a certain real algebraic curve in the complex plane C\mathbb C.

Cite this article

Eduardo Casas-Alvero, Roots of complex polynomials and foci of real algebraic curves. Enseign. Math. 58 (2012), no. 3/4, pp. 223–248

DOI 10.4171/LEM/58-3-1