Bounded geometry for PCF-special subvarieties

Laura DeMarco, Niki Myrto Mavraki, Hexi Ye

For each integer $d\ge 2$, let $M_d$ denote the moduli space of maps $f:{\mathbb{P}}^1\to {\mathbb{P}}^1$ of degree $d$. We study the geometric configurations of subsets of postcriti…