2014/12/06 by Holmes, David
#14H10 #14H40 (Secondary) #14K30 (Primary) #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1412.2243
The jacobian of the universal curve over Mg,n is an abelian scheme over Mg,n. Our main result is the construction of an algebraic space β\colon Mg,n → Mg,n over which this jacobian admits a Néron model, and such that β is universal with respect to this property. We prove certain basic properties, for example that β is separated, locally of finite presentation, and satisfies a certain restricted form of the valuative criterion for properness. In general, β is not quasi-compact. We relate our construction to Caporaso's balanced Picard stack Pd,g.