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

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.

arXiv comment39 pages

References in corpus (7)

• Foundations of Topological Stacks I
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• K-theory and cohomology of algebraic stacks: Riemann-Roch theorems, D-modules and GAGA theorems
• Finiteness theorems for the Picard objects of an algebraic stack
• The Q-Picard group of the moduli space of curves in positive characteristic
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Cited by in corpus (2)

• On some modular contractions of the moduli space of stable pointed curves
• Vanishing of Brauer groups of moduli stacks of stable curves