Good and semi-stable reductions of Shimura varieties
Journal de l’École polytechnique — Mathématiques, Volume 7 (2020), pp. 497-571.

We study variants of the local models constructed by the second author and Zhu and consider corresponding integral models of Shimura varieties of abelian type. We determine all cases of good, resp. of semi-stable, reduction under tame ramification hypotheses.

Nous étudions des variantes des modèles locaux introduits par le deuxième auteur et Zhu, et les modèles intégraux correspondants des variétés de Shimura de type abélien. Nous déterminons tous les cas de bonne réduction, resp. de réduction semi-stable, sous des hypothèses de ramification modérée.

Received:
Accepted:
Published online:
DOI: 10.5802/jep.123
Classification: 11G18,  14G35
Keywords: Shimura varieties, local models, Rapoport-Zink spaces, Schubert varieties
Xuhua He 1; Georgios Pappas 2; Michael Rapoport 3

1 Department of Mathematics, University of Maryland College Park, MD 20742, USA
2 Dept. of Mathematics, Michigan State University E. Lansing, MI 48824, USA
3 Mathematisches Institut der Universität Bonn Endenicher Allee 60, 53115 Bonn, Germany and Department of Mathematics, University of Maryland College Park, MD 20742, USA
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Xuhua He; Georgios Pappas; Michael Rapoport. Good and semi-stable reductions of Shimura varieties. Journal de l’École polytechnique — Mathématiques, Volume 7 (2020), pp. 497-571. doi : 10.5802/jep.123. https://jep.centre-mersenne.org/articles/10.5802/jep.123/

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