Compactified Picard Stacks over the Moduli Stack of Stable Curves with Marked Points
نویسنده
چکیده
In this paper we give a construction of algebraic (Artin) stacks Pd,g,n endowed with a modular map onto the moduli stack of pointed stable curves Mg,n, for g ≥ 3. The stacks Pd,g,n are smooth, irreducible and have dimension 4g − 3+n. They yield a geometrically meaningful compactification of the degree d universal Picard stack over Mg,n, parametrizing n-pointed smooth curves together with a degree d line bundle.
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Néron models and compactified Picard schemes over the moduli stack of stable curves
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