3 problems

Let $\mathcal{H}_3^0$ denote the moduli space of smooth hyperelliptic curves of genus $3$ and $p$-rank $0$ in characteristic $p\geq 3$. Let $c_{3,0,p}$ be the number of geometric i…

Let $k$ be a field of characteristic $p\geq 3$, and let $\mathcal{H}_g$ be the moduli space of smooth hyperelliptic curves of genus $g$ over $k$. Denote by $\mathcal{H}_g^{g-2}$ th…

Let $k$ be a field of characteristic $p\geq 3$, and let $\mathcal{H}_g$ be the moduli space of smooth hyperelliptic curves of genus $g$ over $k$. Write $\mathcal{H}_g^{g-1}$ for it…