Heuristics for (ir)reducibility of $p$-rank strata of the moduli space of hyperelliptic curves

Thomas Bouchet, Erik Davis, Steven R. Groen +2

Let ${\mathcal{H}}_g$ denote the moduli space of smooth hyperelliptic curves of genus $g$ in characteristic $p\ge 3$, and let ${\mathcal{H}}_g^f$ denote the $p$-rank $f$ stratum of $\…