Néron models and compactified Picard schemes over the moduli stack of stable curves

• Autores: Lucia Caporaso
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 1, 2008, págs. 1-47
• Idioma: inglés
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• Resumen

  • We construct modular Deligne-Mumford stacks representable over parametrizing Néron models of Jacobians as follows. Let B be a smooth curve and K its function field, let be a smooth genus-g curve over K admitting stable minimal model over B. The Néron model ? B is then the base change of via the moduli map B ? of f , i.e.: B. Moreover is compactified by a Deligne-Mumford stack over , giving a completion of Néron models naturally stratified in terms of Néron models.