Compactified Picard stacks over \mathcal M_g

2007/10/16 by Melo, Margarida
#14H10 #14H40 #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0710.3008

Abstract

We study algebraic (Artin) stacks over \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 \mathcal M_g.

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