Geodesic
On the geometry of moduli of curves and line bundles
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 1, pp. 45-59.

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Here we focus on the geometry of $\overline{P}_{d,g}$, the compactification of the universal Picard variety constructed by L. Caporaso. In particular, we show that the moduli space of spin curves constructed by M. Cornalba naturally injects into $\overline{P}_{d,g}$ and we give generators and relations of the rational Picard group of $\overline{P}_{d,g}$, extending previous work by A. Kouvidakis.
Il presente lavoro è dedicato alla geometria di $\overline{P}_{d,g}$, la compattificazione della varietà di Picard universale costruita da L. Caporaso. In particolare, si dimostra che lo spazio dei moduli delle curve spin costruito da M. Cornalba si mappa iniettivamente in $\overline{P}_{d,g}$ e si esibiscono generatori e relazioni del gruppo di Picard razionale di $\overline{P}_{d,g}$, estendendo un precedente risultato di A. Kouvidakis. 
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Fontanari, Claudio. On the geometry of moduli of curves and line bundles. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 1, pp. 45-59. http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_1_a3/

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