Compactified Picard stacks over $\bar{\mathcal M}_g$

Details Compactified Picard stacks over $\bar{\mathcal M}_g$ Compactified Picard stacks over $\bar{\mathcal M}_g$

2007-10-16

arxiv.org/abs/0710.3008v2

Mathematics

Algebraic Geometry

21 pages; To appear in Math. Zeit

Scientific paper

We study algebraic (Artin) stacks over $\bar{\mathcal M}_g$ giving a
functorial way of compactifying the relative degree $d$ Picard variety for
families of stable curves. We also describe for every $d$ the locus of genus
$g$ stable curves over which we get Deligne-Mumford stacks strongly
representable over $\bar{\mathcal M}_g$.

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