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.
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.
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Keywords: Shimura varieties, local models, Rapoport-Zink spaces, Schubert varieties
Mot clés : Variétés de Shimura, modèles locaux, espaces de Rapoport-Zink, variétés de Schubert
@article{JEP_2020__7__497_0, author = {He, Xuhua and Pappas, Georgios and Rapoport, Michael}, title = {Good and semi-stable reductions of {Shimura~varieties}}, journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques}, pages = {497--571}, publisher = {Ecole polytechnique}, volume = {7}, year = {2020}, doi = {10.5802/jep.123}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jep.123/} }
TY - JOUR AU - He, Xuhua AU - Pappas, Georgios AU - Rapoport, Michael TI - Good and semi-stable reductions of Shimura varieties JO - Journal de l’École polytechnique — Mathématiques PY - 2020 SP - 497 EP - 571 VL - 7 PB - Ecole polytechnique UR - http://archive.numdam.org/articles/10.5802/jep.123/ DO - 10.5802/jep.123 LA - en ID - JEP_2020__7__497_0 ER -
%0 Journal Article %A He, Xuhua %A Pappas, Georgios %A Rapoport, Michael %T Good and semi-stable reductions of Shimura varieties %J Journal de l’École polytechnique — Mathématiques %D 2020 %P 497-571 %V 7 %I Ecole polytechnique %U http://archive.numdam.org/articles/10.5802/jep.123/ %R 10.5802/jep.123 %G en %F JEP_2020__7__497_0
He, Xuhua; Pappas, Georgios; Rapoport, Michael. Good and semi-stable reductions of Shimura varieties. Journal de l’École polytechnique — Mathématiques, Tome 7 (2020), pp. 497-571. doi : 10.5802/jep.123. http://archive.numdam.org/articles/10.5802/jep.123/
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