| Résume | The talk is devoted to expressive curves introduced by S. Fomin and the speaker. These are real plane affine curves whose real point set provides complete information on the critical points of the defining polynomial. Expressive curves can be regarded as a global analog of real morsifications of singular points of plane curves, which were introducedand studied by N. A’Campo and S. Gusein-Zade. We demonstrate a few results of our joint work with Sergey Fomin. In particular, we prove that the link at infinity of an expressive curve is equivalent to the link of the divide of the given curve. Applications to the classification of various arrangements are discussed |
