4 problems

For $m\geq 1$ and $d\geq 0$, let $R=R^{(2,2m)}$. Let $\mathit{NZ}_{R^d}(t)$ be the motivic numerator and $\widehat{\mathit{NZ}}_R(t)$ its completed version. Positivity conjecture.…

Global functional equation conjecture. As rational functions in $t$,

Let $C$ be a Gorenstein unicuspidal rational curve of genus $g$, and let $\gon_F(C)$ denote its covering gonality, namely the smallest degree of a map from $C$ to $\mathbb{P}^1$. C…

The stability-manifold conjecture. The action of $\mathrm{Auteq}(C)$ on $\mathrm{Stab}(C)$ preserves $\mathrm{Stab}^{dagger}(C)$, and $\mathrm{Stab}^{dagger}(C)$ is simply connecte…