On the Picard group scheme of the moduli stack of stable pointed curves

2020/05/14 by Roberto Fringuelli, Filippo Viviani, Fringuelli, Roberto +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2005.06920

openalex publication_date 2020/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of the present paper is to study the (abstract) Picard group and the Picard group scheme of the moduli stack of stable pointed curves over an arbitrary scheme. As a byproduct, we compute the Picard groups of the moduli stack of stable or smooth pointed curves over a field of characteristic different from two.

Related

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• The Picard group of the universal moduli space of vector bundles on\n stable curves
• The Picard group of M_1,1
• The Q-Picard group of the moduli space of curves in positive characteristic
• Moduli stacks of permutation classes of pointed stable curves