5 problems

Let $G$ be a reductive group acting on a vector space, let $T$ be a maximal torus with Weyl group $W$, and write $Y=V//T$ and $X=V//G$. Let $L_r$ be the bundle on $Y$ associated to…

Let $V_{32}$ be the double cover considered in the paper, and let $\alpha_1$ and $\alpha_2$ be the two involutions acting on it. Write $[V_{32}/\alpha_i]_p$ for the number of point…

Let $X$ be a smooth variety over an algebraically closed field of characteristic zero, and let a finite group $G$ act effectively on $X$. For $\lambda\in G/{\sim}$, let $X_\lambda$…

The quotient modified diagonal conjecture. If

Let $X$ be a smooth projective variety over a field $k$ of characteristic $0$, and let $G$ be a finite group acting on $X$. Suppose that … for all $i$. Write $(X,\pi)$ for the moti…