On the geometry of the compactification of the universal Picard variety

Claudio Fontanari

On the geometry of the compactification of the universal Picard variety

Algebraic Geometry 2007-05-23 v3

Authors: Claudio Fontanari

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.

Keywords

universal picard variety compactification spin curves rational divisor class group moduli space

Cite

@article{arxiv.math/0202168,
  title  = {On the geometry of the compactification of the universal Picard variety},
  author = {Claudio Fontanari},
  journal= {arXiv preprint arXiv:math/0202168},
  year   = {2007}
}

Comments

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

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