The boundary of the $p$-rank $0$ stratum of the moduli space of cyclic covers of the projective line

Ekin Ozman, Rachel Pries, Colin Weir

We study the $p$-rank stratification of the moduli space of cyclic degree $\ell$ covers of the projective line in characteristic $p$ for distinct primes $p$ and $\ell$. The main re…