Boundary behaviour of Hurwitz schemes

Details Boundary behaviour of Hurwitz schemes Boundary behaviour of Hurwitz schemes

1995-01-16

arxiv.org/abs/alg-geom/9501006v1

Mathematics

Algebraic Geometry

16 pages, tex

Scientific paper

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.

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