Actions of finite groups on stable curves are studied. They appear naturally at the boundary of a moduli space of smooth curves with group actions. Those actions which can equivariantly smoothed are characterised. A description of topological types of those actions in terms of the quotient curve and mappings from a kind of fundamental group to the given finite group is given, analogous to the well known case of actions on smooth curves.
CITATION STYLE
Ekedahl, T. (1995). Boundary behaviour of Hurwitz schemes. In The Moduli Space of Curves (pp. 173–198). Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4264-2_7
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