English

Non reality and non connectivity of complex polynomials

Algebraic Geometry 2007-05-23 v1 Geometric Topology

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 ?

Cite

@article{arxiv.math/0210321,
  title  = {Non reality and non connectivity of complex polynomials},
  author = {Arnaud Bodin},
  journal= {arXiv preprint arXiv:math/0210321},
  year   = {2007}
}

Comments

6 pages, to appear in C. R. Acad. Sci. Paris

R2 v1 2026-07-22T16:48:36.460Z