Connecting $p$-gonal loci in the compactification of moduli space

Antonio F. Costa, Milagros Izquierdo, Hugo Parlier

Consider the moduli space ${\mathcal{M}}_g$ of Riemann surfaces of genus $g\ge 2$ and its Deligne-Munford compactification $\overline{{\mathcal{M}}_g}$. We are interested in the branch…