2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119390The notion of $m/Γ$-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 $Γ$. The classical moduli spaces and moduli stacks are generalized to this wider setting. Finally, an explicit construction of the new moduli stack of $m/Γ$-pointed stable curves as a quotient stack is given.21 pagesAlgebraic Geometry14H10, 14A20, 14D22Moduli stacks of permutation classes of pointed stable curvestext