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The Picard group of the compactified universal Jacobian

Authors
  • Melo, Margarida
  • Viviani, Filippo
Type
Published Article
Publication Date
May 01, 2014
Submission Date
Jul 26, 2010
Identifiers
arXiv ID: 1007.4519
Source
arXiv
License
Yellow
External links

Abstract

We determine explicitly the Picard groups of the universal Jacobian stack and of its compactification over the stack of stable curves. Along the way, we prove some results concerning the gerbe structure of the universal Jacobian stack over its rigidification by the natural action of the multiplicative group and relate this with the existence of generalized Poincar\'e line bundles. We also compare our results with Kouvidakis-Fontanari computations of the divisor class group of the universal (compactified) Jacobian scheme.

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