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

Algebraic Geometry 2023-02-06 v3

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.

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Cite

@article{arxiv.2005.06920,
  title  = {On the Picard group scheme of the moduli stack of stable pointed curves},
  author = {Roberto Fringuelli and Filippo Viviani},
  journal= {arXiv preprint arXiv:2005.06920},
  year   = {2023}
}

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39 pages