On mutual arrangements of a plane real curve relative to an $M$-quartic with an oval-snake

S. Yu. Orevkov, N. D. Puchkova

An oval $O$ of a plane real algebraic quartic curve $S$ is called a snake coiling around a real curve $C_k$ of degree $k$ if $O\cup \mathbb{R}{C}_k$ is isotopic to $O'\cup\mathbb{R}C_…