标题： Hurwitz方案的边界行为 显示英文标题

标题： Boundary behaviour of Hurwitz schemes

摘要： 有限群在稳定曲线上的作用被研究。 它们自然地出现在带有群作用的光滑曲线模空间的边界上。 可以等变地进行平滑化的那些作用被表征。 给出了这些作用的拓扑类型的描述，该描述基于商曲线以及从某种基本群到给定有限群的映射，类似于已知的光滑曲线上作用的情况。 显示英文摘要

摘要： 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.