Compactified Picard stacks over the moduli stack of stable curves with marked points

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In this paper we give a construction of algebraic (Artin) stacks endowed with a modular map onto the moduli stack of n-pointed stable curves of genus g, for g greater than 2. These stacks are smooth, irreducible and have dimension 4g-3+n, yielding a geometrically meaningful compactification of the degree d universal Picard stack over the moduli stack of smooth curves with marked points.
Part of the author's Ph.D. thesis

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Algebraic Geometry, 14H10; 14H40; 14H60; 14D20; 14D22

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http://salesiana.dossiersoluciones.com/handle/123456789/173267

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.0763
 http://arxiv.org/abs/0811.0763

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arXiv