Congruences of Néron models for tori and the Artin conductor

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Uniformization of $${\mathcal {G}}$$-bundles (2007, background): “These sheaves have the same degree by the the main theorem of [8], so the two stacks have the same dimension.”
Néron models, Lie algebras, and reduction of curves of genus one (2004, background): “The length of the cokernel Lie(H)/ Lie(G ×S S′) is studied in [9] and [10].”
Le lemme fondamental pour les algebres de Lie (2008, background): “Remarquons que dans la terminologie de [13], J a sera appelé le modèle de Néron de type fini à distinguer avec le modèle de Néron localement de type fini de [10].”