Non reality and non connectivity of complex polynomials
arXiv:math/0210321
Abstract
Using the same method we provide negative answers to the following questions: Is it possible to find real equations for complex polynomials in two variables up to topological equivalence (Lee Rudolph) ? Can two topologically equivalent polynomials be connected by a continuous family of topologically equivalent polynomials ?
6 pages, to appear in C. R. Acad. Sci. Paris