Moduli stacks of permutation classes of pointed stable curves

2006/11/22 by Joerg Zintl, Zintl, Joerg · 1 citation
Computer Science · Mathematics · #14A20 #14D22 #14H10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14A20 #msc:14D22 #msc:14H10

paper · pdf · doi:10.48550/arxiv.math/0611710

21 pages

arxiv created 2006/11/22 · openalex publication_date 2006/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The 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.

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• On the Universal Curves with Unordered Marked Points

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