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Non reality and non connectivity of complex polynomials

Arnaud Bodin

math.AGarXiv: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 ?

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