Geodesic
The Picard group of the compactified universal Jacobian
Documenta mathematica, Tome 19 (2014), pp. 457-507.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 Poincaré line bundles. We also compare our results with Kouvidakis-Fontanari computations of the divisor class group of the universal (compactified) Jacobian scheme.
Classification : 14H10, 14H40, 14C22, 14A20, 14L24
Keywords: universal Jacobian stack and scheme, Picard group, gm-gerbe, Brauer group, Poincaré line bundle 
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     author = {Melo, Margarida and Viviani, Filippo},
     title = {The {Picard} group of the compactified universal {Jacobian}},
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Melo, Margarida; Viviani, Filippo. The Picard group of the compactified universal Jacobian. Documenta mathematica, Tome 19 (2014), pp. 457-507. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a30/