3 problems

Let $V(Q)$ be a real quartic such that for each bitangent $L$, $L\cap V(Q)\cap L_\infty=\emptyset$, where $L_\infty$ denotes the line at infinity. For a real bitangent $L$, let…

Let $C$ be an algebraic curve over the field of Puiseux series, and let $\Gamma = \operatorname{Trop}(C)$. Let $[\Lambda]$ be an equivalence class of bitangents of $\Gamma$ of tota…

Let $C$ be a smooth sextic curve in the real projective plane $\mathbb{P}^2_\mathbb{R}$. A bitangent of $C$ is a line tangent to $C$ at two points, and a bitangent is real when it…