Boundary of the pyramidal equisymmetric locus of Mg
Abstract
The augmented moduli space is a compactification of moduli space Mn obtained by adding stable hyperbolic surfaces. The different topological types of the added stable surfaces produces a stratification of the boundary of Mn . Let Pn be the pyramidal locus in the moduli space, i.e., the set of hyperbolic surfaces of genus n such that the topological action of its preserving-orientation isometry group is the pyramidal action of the dihedral group Dn. The purpose of this paper is to state the complete list of strata in the boundary of Pn
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