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On the geometry of the compactification of the universal Picard variety

Claudio Fontanari
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Abstract

Here we focus on the geometry of $\pdgbar$, 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 $\pdgbar$ and we give generators and relations of the rational divisor class group of $\pdgbar$, extending previous work by A. Kouvidakis.

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Claudio Fontanari. 2004-03-22. On the geometry of the compactification of the universal Picard variety. https://arxiv.org/abs/math/0202168

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