On the geometry of the compactification of the universal Picard variety

2002/02/18 by Claudio Fontanari, Fontanari, Claudio
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0202168

Revised version (modified statement of Theorem 2 and other minor changes)

arxiv created 2004/03/22 · arxiv updated 2009/11/30

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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