ИТОГИ НАУКИ И ТЕХНИКИ. Современная математика и ее приложения. Тематические обзоры.
We consider the problem of topological classification of arrangements in the real projective
plane of the union of nonsingular curves of degrees 2 and 6 under certain conditions of maximality and
general position. We list admissible topological models of such arrangements to be studied by using the
Orevkov method based on the theory of braids and links and prove that most of these models cannot
be realized by curves of degree 8.