标题： 排列类的带标记稳定曲线的模空间 显示英文标题

标题： Moduli stacks of permutation classes of pointed stable curves

摘要： $m/\Gamma$-带标记的稳定曲线的概念被引入。 它应被视为给定亏格的m-带标记的稳定曲线概念的推广，其中标记点的标签仅在置换群$\Gamma$的作用下确定。 经典的模空间和模堆栈被推广到这个更广泛的情况下。 最后，给出了$m/\Gamma$-带标记的稳定曲线的新模堆栈作为商堆栈的显式构造。 显示英文摘要

摘要： The notion of $m/\Gamma$-pointed stable curves is introduced. It should be viewed as a generalization of the notion of m-pointed stable curves of a given genus, where the labels of the marked points are only determined up to the action of a group of permutations $\Gamma$. The classical moduli spaces and moduli stacks are generalized to this wider setting. Finally, an explicit construction of the new moduli stack of $m/\Gamma$-pointed stable curves as a quotient stack is given.