Neron models and Compactified Picard schemes over the moduli stack of stable curves

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We prove that there exist some stacks, representable over the stack of stable curves, having the following universal property with respect to Néron models of Jacobians. For every one-parameter family of stable curves, with regular total space, the Néron model of the Jacobian of its generic fibre is isomorphic to the base change of the above stacks via the moduli map of the given family. We also obtain a stack compactification of the universal Picard scheme and hence a geometrically meaningful completion of the Néron model of the Jacobian for every family as above.
A new title better describing the contents of the paper (including the stackification of a completion of the universal Picard, added only in version 3). Small changes in 4.13. 5.2, 5.6, 5.13

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Algebraic Geometry, 14H10 14K30

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http://salesiana.dossiersoluciones.com/handle/123456789/101069

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502171
 http://arxiv.org/abs/math/0502171

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arXiv