3 problems

Let $G\subset \operatorname{GL}(n,\Bbbk)$ be a finite subgroup. For all $\theta$ in the rational character space, let $\mathcal{M}_\theta=Z{\operatorname{/\tslash}}_\theta H$ be th…

A GIT quotient is a quotient constructed from a linearized action of a reductive group on a variety, and a smooth Fano variety is a smooth projective variety with ample anticanonic…

Let $\mathfrak{M}$ be the GIT moduli space of $(4,4)$ curves on $\mathbb{P}^1\times\mathbb{P}^1$, and let $\mathscr{F}$ be the $18$-dimensional period space of hyperelliptic polari…