Comptes Rendus
no. 9
Number theory/Algebraic geometry
An explicit semi-factorial compactification of the Néron model
[Une compactification semi-factorielle explicite du modèle de Néron]

Présenté par : the Editorial Board

Jesse Leo Kass1
1 Leibniz Universität Hannover, Institut für algebraische Geometrie, Welfengarten 1, 30060 Hannover, Germany
Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 667-671.

C. Pépin a construit récemment une compactification semi-factorielle du modèle de Néron d'une variété abélienne en utilisant les techniques de platification de Raynaud–Gruson. Nous montrons ici qu'une compactification semi-factorielle explicite constitue un certain espace de modules de faisceaux – la famille de jacobiens compacifiés.

C. Pépin recently constructed a semi-factorial compactification of the Néron model of an Abelian variety using the flattening technique of Raynaud–Gruson. Here we prove that an explicit semi-factorial compactification is a certain moduli space of sheaves — the family of compactified Jacobians.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2014.07.007
Jesse Leo Kass 1

1 Leibniz Universität Hannover, Institut für algebraische Geometrie, Welfengarten 1, 30060 Hannover, Germany 
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Jesse Leo Kass. An explicit semi-factorial compactification of the Néron model. Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 667-671. doi : 10.1016/j.crma.2014.07.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.07.007/

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