Boundary of equisymmetric loci of Riemann surfaces with abelian symmetry

Let & Mscr;g be the moduli space of compact connected Riemann surfaces of genus g >= 2 and let Mg $\widehat{\mathcal{M}_g}$ be its Deligne-Mumford compactification, which is stratified by the topological type of the stable Riemann surfaces. We consider th