Boundary of the pyramidal equisymmetric locus of M_g
Algebraic Geometry
2019-07-26 v1
Abstract
The augmented moduli space is a compactification of moduli space M_n obtained by adding stable hyperbolic surfaces. The different topological types of the added stable surfaces produces a stratification of the boundary of M_n . Let P_n 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
Keywords
Cite
@article{arxiv.1907.10644,
title = {Boundary of the pyramidal equisymmetric locus of M_g},
author = {Raquel Díaz and Víctor González-Aguilera},
journal= {arXiv preprint arXiv:1907.10644},
year = {2019}
}